# Binomial Expansion Questions And Answers Pdf

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## Exam-Style Questions on Binomial Theorem

Worked Solution. If you would like space on the right of the question to write out the solution try this Thinning Feature.

It will collapse the text into the left half of your screen but large diagrams will remain unchanged. The exam-style questions appearing on this site are based on those set in previous examinations or sample assessment papers for future examinations by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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## Binomial Theorem

Study at Advanced Higher Maths level will provide excellent preparation for your studies when at university. Some universities may require you to gain a pass at AH Maths to be accepted onto the course of your choice. The AH Maths course is fast paced so please do your very best to keep on top of your studies. Please find below:. About the Binomial Theorem. For students working from the Maths In Action text book the recommended questions on this topic are given in Section 3. Also included in the Study Pack are full worked solutions to the recommended MIA text book questions.

A binomial is an algebraic expression containing 2 terms. Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions. We note that the coefficients the numbers in front of each term follow a pattern. You can use this pattern to form the coefficients, rather than multiply everything out as we did above. We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

Without having a clear understanding of binomial theorems, students may have a hard time-solving the sums given in this chapter. The array of examples provided in these NCERT Solutions will allow students to understand how they are supposed to proceed with equations covered in this chapter. It starts off with some examples and definitions, allowing students to learn how to solve simple equations before they proceed with complex sums. Students are to keep in mind certain simple steps for the process of expansion of these equations. With this section of Chapter 8 Class 11 Maths, students are to understand the positive integral indices.

Question 11 (**+) a) Find the first four terms, in ascending powers of x, in the binomial expansion of .) 1 2x. −. b) Use the answer of part (a) with a suitable.

## Unsure about the Binomial Theorem?

Find the 7 th term of. Using the formula. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page.

You may be asked to find specific terms using the Binomial Expansion; for example, they may ask to find the 5 th term of a binomial raised to an exponent, or the term containing say a certain variable raised to a power. As the binomial term increases, the process becomes tedious and. Page 1.

#### JEE Advanced important questions on Binomial Theorem

Assume that you guess on each question of a multiple choice test. There are 12 questions and each question has 4 possible answers. What is the probability of getting exactly 8 answers correct? Thus, if we want to find the coefficient of ,. This question requires the application of the binomial theorem for probability.

Worked Solution. If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged. The exam-style questions appearing on this site are based on those set in previous examinations or sample assessment papers for future examinations by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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BjsrxbxWorksheet The Binomial Theorem. Section 1 Binomial Coefficients and Pascal's Triangle. We wish to To answer this, we think of it as a counting question.