OCR C2 2012 January — Question 3

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2012
SessionJanuary
TopicBinomial Theorem (positive integer n)
TypeFirst few terms given find parameters

3 One of the terms in the binomial expansion of \(( 4 + a x ) ^ { 6 }\) is \(160 x ^ { 3 }\).
  1. Find the value of \(a\).
  2. Using this value of \(a\), find the first two terms in the expansion of \(( 4 + a x ) ^ { 6 }\) in ascending powers of \(x\).