CAIE P1 2012 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2012
SessionJune
TopicBinomial Theorem (positive integer n)
TypeFind constant from coefficient condition

3 The coefficient of \(x ^ { 3 }\) in the expansion of \(( a + x ) ^ { 5 } + ( 2 - x ) ^ { 6 }\) is 90 . Find the value of the positive constant \(a\).