CAIE P1 2009 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2009
SessionNovember
TopicBinomial Theorem (positive integer n)
TypeProduct with unknown constant to determine

3
  1. Find the first 3 terms in the expansion of \(( 2 - x ) ^ { 6 }\) in ascending powers of \(x\).
  2. Given that the coefficient of \(x ^ { 2 }\) in the expansion of \(\left( 1 + 2 x + a x ^ { 2 } \right) ( 2 - x ) ^ { 6 }\) is 48 , find the value of the constant \(a\).