CAIE P1 2014 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2014
SessionNovember
TopicBinomial Theorem (positive integer n)
TypeSubstitution into binomial expansion

3
  1. Find the first 3 terms, in ascending powers of \(x\), in the expansion of \(( 1 + x ) ^ { 5 }\). The coefficient of \(x ^ { 2 }\) in the expansion of \(\left( 1 + \left( p x + x ^ { 2 } \right) \right) ^ { 5 }\) is 95 .
  2. Use the answer to part (i) to find the value of the positive constant \(p\).