Question 4 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2013
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Product with unknown constant to determine

Find the first three terms in the expansion of \(( 2 + a x ) ^ { 5 }\) in ascending powers of \(x\).
Given that the coefficient of \(x ^ { 2 }\) in the expansion of \(( 1 + 2 x ) ( 2 + a x ) ^ { 5 }\) is 240 , find the possible values of \(a\).