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1.7.1 Binomial expansion

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Question 91

A signal processor's response function R(x)R(x)R(x) is defined by the expansion of R(x)=(2x−5)8R(x) = (2x - 5)^8R(x)=(2x−5)8.

a.

Show that the first three terms, in descending powers of xxx, of this expansion are given by

256x8+ax7+bx6 256x^8 + ax^7 + bx^6 256x8+ax7+bx6

where aaa and bbb are integers to be found.

[3]
b.

Find the constant term in the expansion of

(2x−5x)8 \left(2x - \frac{5}{x}\right)^8 (2x−x5​)8
[3]
Markscheme

1.7.1 Binomial expansion Questions

  1. A Level
  2. /Maths
  3. /1.7.1 Binomial expansion

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.

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