AQA C2 2016 June — Question 7 5 marks

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2016
SessionJune
Marks5
TopicBinomial Theorem (positive integer n)
TypeStandard product of two binomials

7
  1. The expression \(( 1 - 2 x ) ^ { 5 }\) can be written in the form $$1 + p x + q x ^ { 2 } + r x ^ { 3 } + 80 x ^ { 4 } - 32 x ^ { 5 }$$ By using the binomial expansion, or otherwise, find the values of the coefficients \(p , q\) and \(r\).
  2. Find the value of the coefficient of \(x ^ { 10 }\) in the expansion of \(( 1 - 2 x ) ^ { 5 } ( 2 + x ) ^ { 7 }\).
    [0pt] [5 marks]