Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths Edexcel
  5. Question bank

Binomial Expansion

EasyMedium
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109
Question 103

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]

Binomial Expansion Questions

  1. A Level
  2. /Maths
  3. /Binomial Expansion

Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 115 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank