Why You Should Consider Having a Chemistry Tutor For Your Tests

Why You Should Consider Having a Chemistry Tutor For Your TestsStudents in a University course that requires them to take a written test and a visual comprehension test should consider taking a chemistry tutor in Raleigh NC. These types of tests can be very intimidating to students, as they tend to be difficult to the point where many students may fail them. While it is not easy to write a good English essay or a good composition on the subject, it is easy to teach yourself with the help of a tutor.Student who take this type of test will come out of it prepared to write their exams and take them. Having a chemistry tutor for these tests will make sure that you are doing well, even if you are having difficulty doing so. There are numerous reasons for having to take a test such as obtaining a college scholarship, taking an Advanced Placement course, or taking an Advanced Placement exam.Many students may not know that there are other tests they can take. These tests range from looking a t the different material in biology to understanding your class material in chemistry. Students do not have to worry about how they did on the test, they only need to focus on what they learned, and how to apply it to their life in the future.Having a good score is vital when you are trying to get into college, as the chances of getting in are not the same as those that get into school without taking a test. If you don't take a test, chances are high that you will never get in. You will have wasted countless hours trying to figure out how to apply your test scores.If you do not have a chemistry tutor, you will probably be at a disadvantage when taking these tests. You may not know how to take them because you don't understand them or you may not have taken any tests in the past. You can only learn if you take one or several tests.Take several tests so that you can learn how to take the test. The first step to learning is to take a test so that you can get a feel for what you are doi ng and what you need to do to make sure that you are doing well. If you have been taking a test and failed to score high, take a test again, this time you will know exactly what you need to do to improve your score.Taking the test may not seem like a big deal, but it can make a difference. For example, you may want to get an Advanced Placement course, but may not know where to start. Take some test and find the tests that are offered at your university so that you can get involved in campus life and take classes.If you think that you might be interested in taking a chemistry test in Raleigh NC, look for a tutor to help you. A tutor can be helpful in many ways and can make taking the test much easier. Take tests and learn, it will make you a better student in the long run. You never know what you may learn and what you learn can help you get into school.

Tips For SAT and ACT Tutoring

Tips For SAT and ACT TutoringAfter you have completed your SAT or ACT preparation, you may find that you need additional tutoring for SAT and ACT that will help you be ready for SAT and ACT. Although there are online SAT and ACT tutoring services that offer their services for free, many students would rather take the time to pay for the service of an online SAT and ACT tutor. Here are some of the things to consider when you need to find an SAT and ACT tutor.The first thing you should consider is whether or not you want to go to a place that has a beautiful new world of online tutoring. If you like to travel, a place that offers you an experience that makes you forget about being in a classroom, a place that lets you see the world from the vantage point of a professional tutor, is worth exploring. If you are curious about places like New York City, or London, or Paris, or Sydney, or Washington DC, or even Denver, they are going to be great places to visit for SAT and ACT prep tutoring .Another great way to find a SAT and ACT tutor is to use a scholarship search service. These services offer people scholarships to help them pay for their SAT or ACT preparation. If you are applying for a scholarship, this is a good way to get some idea of which scholarships are available to you. If you are not sure of what type of scholarship you need, a scholarship search can be a great place to start.If you already know that you are interested in going to a nice place to do your SAT and ACT prep, you may want to look into the hiring practices of different tutors. If you are looking for a tutor, you should try to see how long they have been in the business. If they have only been in business for a short while, it may be a good idea to steer clear of them.There are also online Englishlessons. These are good if you don't need a tutor, but you would still like to improve your English skills. However, you should always check to make sure that the teacher teaching these lessons is cert ified.There are also programs that are designed specifically for learning style that vary by area. There are programs for those who learn best through math, for those who learn best through reading, and for those who learn best with activities. Many times these programs will provide their own tutors and personal attention. A good program will give you an opportunity to work on your English and math skills without the distraction of a tutor.Steps Tutoring Pleasanton has been a very successful school and a successful school for individuals who need SAT and ACT tutoring. Students who have studied at Steps tend to have better SAT scores than students who have not studied at Steps. Students who attend School with Step Tutoring find that they are much more motivated in their studies and much more productive.

French on the Go Study Tips for Busy Students

French on the Go Study Tips for Busy Students Megan L. Even if youre short on time, you can still practice your French every day. French tutor  Carol Beth L.  shares her favorite study tips for busy French students French is a beautiful language, and exciting to learn. For many students, however, life is busy! It is difficult to set aside enough time to learn French properly and to practice what you have learned. There is not just one best way to learn French, however. Here are a few tips to study French in those in-between minutes on the go! In the car Keep some French music in your car. Whenever you drive somewhere, turn it on. For lower and mid-level students, this could be an audio course like those from Rosetta Stone, Pimsleur, or Berlitz. It could also be music with songs that include comprehensible lyrics in French. For mid to upper level students, look for short stories, literature, or news. One resource to investigate is thinkLANGUAGE, which offers subscriptions to monthly French audio on various topics read aloud by native French-speakers. For lower to mid-level students especially, keep an eye out for those CDs that have a transcript and possibly a translation. On the bus Download the audio from your French CDs onto your iPad or another device you carry around with you regularly. This is especially important if you dont drive much and favor walking, biking, public transit, or carpools where you wont necessarily be in control of the radio and CD settings. Keep earphones with you as well, so you can listen without disturbing those around you. Make it a habit to turn on your French audio while you are sitting on the bus or walking around town. If you have the transcripts with you and are in a place where you can read as you listen, follow along as the audio plays. While you wait Maintain a set of flashcards with your most recent French  vocabulary, and keep it in your bag, purse, or pocket. When you have a moment â€" youre waiting for the bus or a friend, a break between classes, and so on â€" pop them out and begin quizzing yourself. Even if you dont know them at first, looking at the words and the corresponding pictures or translations will help you start making connections. When assimilating a new language, new words may take up to ten exposures or more before you actually remember them, so providing yourself with exposures is definitely a good use of a spare minute or two. While you shop Incorporate the French you are learning into your everyday notes. Did you recently learn how to say the date? Write it out longhand in French on the top of every set of notes for a meeting or class, on every list of groceries, or at the start of your journal or diary entries. Are you learning about food? Write out your next grocery list in French. Out with friends Tell your friends about what you are learning in French â€" at least the ones wholl listen without being bored to death! Perhaps even teach them a phrase or two. Use the phrases you teach them. Let people know youre learning French. You may find you know someone who you never knew spoke French â€" and they may throw in a French word or phrase here and there to help you. Test out these tips and see how well they work for you. Continue to use the ones that help you the most. Have you figured out the best way to learn French? Do you have other tricks for learning French on the go? Let us know in the comments! Studying with a private tutor is a wonderful way to master a new language in your free time, at your own pace. French tutors are available to work with you online via Skype or in-person depending on locations and availability. Search for your French tutor now! Carol Beth L. teaches  French lessons in San Francisco, CA. She has her Masters in French language education from the Sorbonne University in Paris and has been teaching since 2009.  Learn more about Carol Beth here! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo by  Jeremy Brooks

The Best Poetry Books

The Best Poetry Books Find a Poetry Book to Inspire You ChaptersContemporary Poetry AnthologiesClassical Poetry CollectionsChildren’s Poem BooksPoetry Books for RecitationMany bookworms fear that the digitalisation of the world is bringing about the death of the humble book. However, sales of printed books are, in fact, on the rise once again!There’s nothing quite like a book. Flicking through the pages and smelling that familiar smell as you take in the words on each page is a unique experience.Most lovers of poetry enjoy building up a poetry collection made up of all kinds of anthologies, magazines and other poetry books, which contain all kinds of poems which speak to them in some way.There are many different genres of poetry book published on the market. Some are collections from a particular author, while others contain poems which follow a certain rhyme scheme or other structure. Whatever your poetic preferences, there really is something for everyone.So, whether you know what you like, and you want to find some new titles to ad d to your poetry collection, or you’re new to poetry and you’re looking for something to get yourself started, this article will tell you all you need to know about the poetry books available today.See the daffodils that Wordsworth saw through his poetry ¦ source: Pixabay - Jill111Penguin’s Poems for LifeBook publisher, Penguin has selected a range of poems for various stages in a person’s life. With verse for everything from birth to death and everything in-between, this anthology is sure to form a fundamental part of your poetry collection. The Poems for Life come from a range of sources and eras, with work from Shakespeare as well as Carol Ann Duffy to enjoy.Best-Loved Poems: A Treasury of VerseLike Penguin’s Poems for life, this anthology is a patchwork of poems from the last 500 years. Featuring some of the most famous poems and the ones with which the public is most familiar, this is a great addition to any collection.Lamia, Isabella, The Eve of St Agnes and Other P oems â€" John KeatsThis was the final volume of poetry published by John Keats. It is widely considered to be the best representation of his work. Written in 1819, it was released months before he died at the age of 25.Children’s Poem BooksIt is widely agreed that poetry is for all, and that children should, therefore, be introduced to poetry as a literary form at a young age. For this reason, there are many poetry books and treasuries on the market which have been compiled specifically for young readers.Like the poetry books available to adults, children’s poetry book may be centred around certain topics, or even levels of reading ability.Here is a selection of books to inspire young minds:Revolting Rhymes â€" Roald DahlA classic in the world of children’s poetry by one of the world’s most famous children’s authors, Revolting Rhymes is a collection of well-known nursery rhymes and tales as you have never seen them before. Written in verse with alternate endings and new tw ists in each stanza, Revolting Rhymes will provide an exciting read for any young poet.The Puffin Baby and Toddler TreasuryFull of traditional nursery rhymes, fairy tales and short stories, this treasury makes the perfect first book, or even a birthday gift. Containing favourite characters such as Tom Kitten and The Snowman, the timeless pieces contained within the pages of this book are more than enough to inspire further poetry reading and interest in the literary world.The Lost Words â€" Robert McFarlane and Jackie MorrisThe Lost Worlds has been created with a view to give its young readers a taste of what it means to grow up with nature. McFarlane’s poetry, along with Morris’ illustrations create a world which children can explore while getting to know the joys of poetry.101 Poems for Children â€" Carol Ann DuffyIn first place on the Guardian’s list of the top 10 poetry books for children, 101 Poems for Children is a great collection of all kinds of poems to be enjoyed by youngsters. Each poem has been personally selected by poet laureate Carol Ann Duffy, and the anthology contains poems for children of all ages and interests.Poetry Books for RecitationPoetry lovers who may not be so keen to create their own verse put time finding the perfect poems to read aloud instead. Poetry recital is very popular among school-age children, who are encouraged to perform poems aloud to develop their public speaking skills.Feel confident in front of the mic with a poem that you love ¦ source: Pixabay - FotocitizenThanks to the popularity of the practice of reciting, many anthologies of poems which lend themselves to recitation have been compiled.Here are some of the most popular ones available:Poetry by Heart: Poems for Learning and RecitingContaining 200 poems of all kinds, this anthology has been compiled for candidates of the recitation competition, Poetry by Heart, to choose from. Each and every poem has been carefully hand-picked by former poet laureate, Andr ew Motion (founder of the spoken poetry competition) and his team.A Year of Reading Aloud: 52 Poems to Learn and LoveWith one poem to learn and recite per week, A Year of Reading Aloud will give you plenty of food for thought. Just as memorising is good exercise for the brain, exploring how words can pepper a year of your life with interest is good for the soul. In addition to the verses in this compilation, there is an explanation of the meanings behind each poem as well as relevant information on the person who penned it.Penguin’s Poems by HeartThis collection of English poetry has been put together to reignite our national love of poetry. Packed with old favourites as well as poems which are best read aloud, this book is a welcome addition to any bookshelf.

How To Revise Outside Of Your Portuguese Lessons

How To Revise Outside Of Your Portuguese Lessons Get More Out Of Portuguese Courses ChaptersTake Time To Revisit The Key Lessons From Your Portuguese ClassesOnline Portuguese Courses Are Your FriendImmerse Yourself Outside Of Portuguese LessonsConsider An Online Portuguese TutorIf you’re studying Portuguese at school or university, you may feel as though you’re not retaining all the information that you’re being given, which may make you feel as though you’re not getting the most out of your lessons each week.Any such concern is understandable, as learning a language is often a long process that demands a lot of commitment from the learner.This is because, like any skill, the more you use the language, generally the more proficient you become at it. Therefore, any extended period of time away from the language may mean it takes you longer to familiarise yourself with areas such as common words and phrases.To try and minimise any disruption to your language learning, it can be a good idea to try and revise your knowledge of Portuguese, even outside of the cla ssroom, on a regular basis. Although this takes commitment and dedication if you’re truly set on improving your level of Portuguese, revising outside of your Portuguese course London can really pay off in the long run.Verbs and tenses; orMore basic concepts such as the alphabet.By revisiting previous lessons, this helps to consolidate your knowledge and helps commit it to memory, making it easier to recall the information when you need it for your next Portuguese class or encounter with a Portuguese speaker.This is especially important if you’re new to learning the language. This is because, in order to progress with the level of your proficiency, you need to know and understand the basics of the language first. Therefore, it’s vitally important that you understand how to conjugate common verbs, what basic sentence structure looks like, and have a good grasp of basic vocabulary.Much of this consolidation can come from simply revisiting your notes from your previous Portuguese classes. If you try and set a little bit of time aside each week to sit down and work through the notes again, you’ll find that it becomes much easier to recall the words and phrases that were taught when you go into future lessons, thus making it easier to build up your overall understanding of Portuguese.One way to capture and revise key aspects of prior classes is to write them down on flashcards. This is because flashcards can help quickly jog your memory, and are easy enough to take out and about with you, meaning that you can revise even when you’re on the go!Try and take some time to revisit previous Portuguese lessons to consolidate your knowledge. (Image Source: CC0 1.0, Free-Photos, Pixabay)Online Portuguese Courses Are Your FriendWe live in a technology-driven age, and it’s worth making the most of that when learning a new language.The internet, for instance, has so many resources when it comes to language learning. For instance, there are plenty of language learnin g forums out there where learners can ask native or experienced speakers questions they may have about a particular language.So regardless of whether you’re learning Portuguese as a foreign language, or perhaps another language such as Spanish or French, you can often use the same forum as a helpful point of reference, as the forums cater to a huge number of different languages.Equally, if you’d prefer to continue your studies on your own, then there are a number of different apps out there that can help you improve your understanding of Portuguese. Popular apps include the likes of:Duolingo; andBabbel.Although there are plenty more out there.  Some apps are free, but others you have to pay for, so it’s worth researching in advance how much an app costs, and whether you’re willing to part with your money to have it.It’s also worthwhile reading other user’s reviews of using the apps, and seeing what their experiences were like, to see whether an app would work for you.Of ten, apps such as Duolingo don’t tend to command much of your time each day, meaning you can practice Portuguese in an easy, manageable way that doesn’t feel too much like hard work.You may like the idea of finding an online Portuguese tutor. (Image Source: CC0 1.0, fancycrave1, Pixabay)Immerse Yourself Outside Of Portuguese LessonsOne of the best ways to learn a language is to immerse yourself in that language’s culture. Ideally, this is best done by actually travelling to either Portugal or Brazil, as that way you are surrounded by the language for the duration of your stay. It also means that you have the opportunity to hear native speakers converse in Portuguese, which can be fantastic for developing your own speaking and listening skills.However, you don’t have to travel overseas to improve your understanding of Portuguese. Below are some great ways you can continue to develop your understanding and appreciation of Portuguese outside of your Portuguese class or language course.Watch Portuguese Films And TVA lot of people enjoy relaxing during the evening or at weekends by sitting down and watching some TV. So why not make some time to incorporate some Portuguese programming into your weekly schedule?If you still consider yourself to be a beginner when it comes to your proficiency in Portuguese and you’re not sure you’ll be able to understand everything the actors say, then try putting on English subtitles when watching the film or show. That way, you can still follow the plot, and you may also pick up a new word or phrase along the way.This is also a great way to develop your listening skills in Portuguese, and learn more about how to pronounce words correctly.Read Portuguese BooksIf you’re more of a bookworm than a TV-person, then why not pick up a Portuguese novel or two and develop your Portuguese reading skills in your spare time?If you’re still learning the language and want to read in Portuguese, you might want to try one of the foll owing approaches:Buy or rent the book in both Portuguese and English, and read them side-by-side;Just buy the book in Portuguese, but keep an English-Portuguese dictionary nearby so you can look up any words you’re unsure of; orMix and match the above approaches to see what works best for you.Potentially, you could also look at getting an audio version of the book along with a paperback, hardback, or Kindle version, so that way you can read along while listening to how the words are pronounced in Portuguese. It may be difficult to follow the plot of the book if you’re still relatively new to learning Portuguese, so always try to think about what reading methods would most help you to develop your Portuguese skills.Listen To Portuguese MusicAnother enjoyable way to immerse yourself in Portuguese outside of class is to listen to music. Try to choose either Portuguese or Brazilian artists, depending on what variation of Portuguese you’re studying, as that way you can understand a little more about the various nuances of pronunciation.You may find that your level of Portuguese can improve by watching Portuguese TV in conjunction with revising your Portuguese lessons. (Image Source: CC0 1.0, 3dman_eu, Pixabay)Consider An Online Portuguese TutorIf you’d like to consolidate what you’re learning in Portuguese classes at school or university, but feel that you’d benefit from having some further structure and motivation with your extra-curricular efforts, then you could also look at hiring an online Portuguese tutor from sites such as Superprof.A Superprof Portuguese tutor can help you understand what areas of the Portuguese language you’re struggling the most with, whether that’s:Verb conjugation;Tenses;Vocabulary and common expressions; orPronunciation.What’s more, they can provide tailored exercises to help consolidate what you’re learning during your regular Portuguese classes. Just search for Portuguese tutors on Superprof’s site to find tutor s that are happy to provide online, or even in-person, classes. What's more, there are a number of Superprof tutors that are able to cater to a range of experience levels, from beginner to intermediate and beyond.Whether you consider yourself a complete beginner in Portuguese or you consider yourself a fluent Portuguese speaker, a language is just like any other skill and needs to be practised regularly in order to maintain your skill level.As a result, having a tutor on hand can be really helpful for some Portuguese learners, particularly if they would like to practice specific skills such as their speaking skills or would like more opportunities to practice particular points of grammar.When looking for a Portuguese tutor, just try to keep in mind that Brazilian Portuguese and the kind of Portuguese spoken in Portugal does differ slightly, so it's worthwhile taking some time to decide which kind of Portuguese you'd like to learn. That way, you can find a tutor more easily who speci alises in that branch of Portuguese on a network such as Superprof.

What is it Like to Attend Covenant University

What is it Like to Attend Covenant University Oge earned her bachelor's degree in French from Covenant University in Nigeria. She specializes in Greek tutoring, French tutoring, and a number of other subjects. Below, she shares her experience at Covenant University. Describe the campus setting and transportation options. Oge: The universitys campus is about an hour and a half from the metropolitan Lagos area, and is very safe. The transportation system within campus is such that students dont require a car; buses are usually available every 20 to30 minutes. How available are the professors, academic advisers, and teaching assistants? Oge:The professors are usually available before and after class for consultation, as well as through appointment. Teaching assistants are usually available to talk with students after class. How would you describe the dorm life rooms, dining options, location, socialization opportunities with other students? Oge:The dorm life was exciting. We were paired with our coursemates, so that meant that we got the opportunity to know our classmates more beyond classroom interaction. The dorms are not co-educational; being a Christian university, the male dorms and the female dorms were far from one another. Dining options were restricted to the student cafeteria and the snack shops. Students were not permitted to cook in the dorms. Which majors/programs are best represented and supported? Oge:The majors that are best supported in my university are engineering majorselectrical, mechanical, information and communication technology (ICT), and management information systems (MIS). I majored in French, and minored in German for two years because I have a passion for languages. I think my university did a great job supporting my course of study, from the study abroad opportunity we were given to the modern language lab we had. How easy or difficult was it for you to meet people and make friends as a freshman? Does Greek life play a significant role in the campus social life? Oge:It was difficult for me to meet people and make friends as a freshman, because I was extremely shy. We didnt have Greek life, but we had chapel service groups where students could join and interact, regardless of their majors or classifications. How helpful are the Career Centerand other student support services? Oge:The Career Center was integrated into the student affairs department. They organized career fairs with several reputable companies (Unilever, Procter Gamble, McKinsey and Co). How are the various study areas such aslibraries, the student union, and dorm lounges? Oge:The library is well equipped with materials ranging from print to digital. The busyness of the campus library ranges depending on the time of year and proximity to tests and finals. Describe the surrounding town. Oge:The surrounding town is industrial, with small and medium sized businesses. Fun places in the town are local restaurants, movie theatres, and shopping malls. Most weekends, students go to the downtown area to eat and spend time with their friends. How big or small is the student body? Were you generally pleased or displeased with the typical class sizes? Oge:The total student population ranges between 6,000 and 9,000. Typically, the class size in my program of study was relatively small, with a student to teacher ratio of about 1:20. Describe one memorable experience with a professor and/or class. Perhaps one you loved the most or one youregretthe most. Oge:A memorable class I had was with my favorite professor, Emmanuel Kwofie. He was teaching us French linguistics and was moving from row to row, ensuring that all of us pronounced each word the right way. When it got to my turn, I pronounced the word slightly wrong, and he snapped in a very funny way. He repeated the right pronunciation up to ten times, until he was satisfied with my pronunciation. It was a very funny experience! Check out Oge's tutoring profile. The views expressed in this article do not necessarily represent the views of Varsity Tutors.

Equivalent fractions

Equivalent fractions Equivalent means equality. Equivalent fractions are the fractions which when reduced or simplified have the same value. Fractions are a very commonly used numerical representation of numbers. A fraction is number written in p/q form. Where p is the numerator and q is the denominator of the fraction. The denominator of a fraction cannot be equal to zero i.e. q not equal to zero. Different mathematical operations such as addition, subtraction, multiplication and division can be used to simplify, solve and check for equality for the given fractions. Example 1: Given are two equivalent fractions find the missing value? 5/10 = 1/? Solution: Given are equivalent fractions. To find the missing number the fraction 5/10 needs to be further simplifies. The fraction 5/10 can be written as (5 x 1)/ (2 x 5) Here we have a common number 5 in the numerator and the denominator. Further simplifying: (5 5)/ (10 5) = 1/2. Hence, the missing number is 2 and the equivalent fraction is 1/2. Question: Multiple choice question (Pick the correct option.) What is the fraction 6/12 equivalent to in the following? a) 3/8 b) 2/3 c) 1/2 d) None of these. Correct answer: option c. Explanation: Given is the fraction 6/12. The fraction can be further simplified as follows: The fraction 6/12 can be written as (6 x 1)/ (6 x 2) Here we have a common number 6 in the numerator and the denominator. Further simplifying: (6 6)/ (12 6) = 1/2.

Improve Your GPA via Online Trigonometry Tutors

Improve Your GPA via Online Trigonometry Tutors 0SHARESShare Learning online for getting extra edge in studies or catching up with the learning material is the trend of the day. You need to improve your GPA by concentrating on Math subjects like Trigonometry for good college entries and great career choices. For, Trigonometry opens the door for learning subjects like Calculus at college and a good score in Trig with basic knowledge is the way to reach the portals of Math learning at college without struggle. Why you need Trigonometry tutor online? Since learning Trigonometry with good understanding has become fundamental for college studies, students need to pick up clear understanding in Trigonometry concepts and they need to excel in all parts of Trigonometry learning without a ray of doubt. Students have doubts in their assignment or homework popping up in any odd hour and that definitely poses threats to their scores. Online Trigonometry tutor  stands as the support to students in such menacing times with 24/7 availability and expert subject knowledge. Learn Tricky Concepts Easily With Online Trigonometry Tutor http://t.co/ny4z8s0agv â€" Tutor Pace (@TutorPace) September 21, 2015 Great things imparted in Trig online tutoring One on one personalized care Review of basic skills in Trigonometry Knowledge packed tutors with their sufficient experience Reliable sites with their regular  custom support Cutting edge tools for support Any time live chat and safe online classrooms Affordable rates with hassle free registration Whiteboard discussions for difficult  problems Sharing of homework files and recording of tutoring session for future use Learning from home without commutation The list goes on. Students need only such an online help from expert tutors who propel them towards the path of confidence and help them win stunning ‘A’ within a short span of time. Power-Packed Ideas That Quantify Your Capabilities in #Trigonometry http://t.co/hpfq5dwEyp pic.twitter.com/Dm58KTtbed â€" Tutor Pace (@TutorPace) September 21, 2015 There are many hot and intriguing topics in Trigonometry  that need probe and guidance for understanding. Some of them are as follows Basic Trig functions like Sine, Cosine, Tangent Odd and even Trig functions Inverse Trig Graphs Angle of depression problems Radians and Degrees Tangential velocity. The work sheets, practice sheets and personalized classes presented in Trigonometry online tutoring make students’ work easy with unique insights in topics and help them raise their grades within a short span of time. [starbox id=admin]

Add and Subtract Polynomials

Add and Subtract Polynomials Definition: - An algebraic expression in which the variables involved have only non-negative integral powers is called a polynomial. Examples: - 5x^3 4x^2 + 6x -3 is a polynomial in one variable x. 9y^4 +6 y^3 + 10y^2 -8y +2/5 is a polynomial in one variable y. 3 +2x^2 -6x^2y +5xy^2 is a polynomial in two variable x and y. 5+ 8x^ (3/2) +4x^2 is an expression but not a polynomial, since it contains a term containing x^ (3/2), where 3/2 is not a non-negative integer. Note: - A polynomial containing one term only, consisting of a constant is called a constant polynomial. Example: - 3, -5, 7/8 etc. are all constant polynomial. In general, every real number is a constant polynomial. A polynomial consisting of one term, namely zero only is called a zero polynomial. Example1: - Add and subtract the following polynomials 2x^2 + 5x + 9 and 6x^2 + 8x + 3 Solution: - (2x^2 + 5x + 9) + (6x^2 + 8x + 3) = (2x^2 + 6x^2) + (5x+8x) + (9+3) = 8x^2 + 13x + 12 (2x^2 + 5x + 9) (6x^2 + 8x + 3) = 2x^2 + 5x + 9 - 6x^2 - 8x 3 = (2x^2 6x^2) + (5x 8x) + (9 3) = -4x^2 3x + 6 Example2: - Add and subtract the polynomials 2x + y 3 and 3x + 2y 8 Solution: - (2x + y 3) + (3x + 2y 8) = 2x+y 3+3x+2y8 = 5x+3y-11 (2x + y 3) - (3x + 2y 8) = 2x+y3-3x-2y+8 = -x-y+5