Question 3 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2015
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Product with unknown constant to determine

Write down the first 4 terms, in ascending powers of \(x\), of the expansion of \(( a - x ) ^ { 5 }\).
The coefficient of \(x ^ { 3 }\) in the expansion of \(( 1 - a x ) ( a - x ) ^ { 5 }\) is - 200 . Find the possible values of the constant \(a\).