CAIE P1 2011 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2011
SessionJune
TopicBinomial Theorem (positive integer n)
TypeCoefficient zero after multiplying binomial

2
  1. Find the terms in \(x ^ { 2 }\) and \(x ^ { 3 }\) in the expansion of \(\left( 1 - \frac { 3 } { 2 } x \right) ^ { 6 }\).
  2. Given that there is no term in \(x ^ { 3 }\) in the expansion of \(( k + 2 x ) \left( 1 - \frac { 3 } { 2 } x \right) ^ { 6 }\), find the value of the constant \(k\).