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a) Find the first four terms in ascending powers of x in the binomial expansion of f x ( ) and in the binomial expansion of g x ( ) . b) Hence determine the coefficient of x 2 in the binomial expansion of h x ( ) .
Revision notes on 4.1.1 Binomial Expansion for the Edexcel A Level Maths: Pure syllabus, written by the Maths experts at Save My Exams.
A level pure maths year 1 The Binomial Expansion Question Set and Answers.
Find the value of the constant n in each of the following binomial expansions a) ( ) 1 3+ x n , if the coefficient of x 2 is 54 . b) ( ) 1+ x n , if the coefficient of x 2 is 55 .
The binomial expansion can be used to find accurate approximations of expressions raised to high powers. In Pure Year 1, you learnt how to expand ( + ) where n is a positive integer and , being any constants. We will now learn how to expand a greater range of expressions.
We have seen how we can expand binomials using the numbers in each row of Pascal's triangle. We've also seen how to work out the numbers in Pascal's triangle using factorials. This leads us to an equation we can use to expand binomials without having to think about Pascal's triangle.
a) Expand 1 2+ x as an infinite convergent binomial series, up and including the term in x 3 . b) State the range of values of x for which the expansion is valid.
