Question 2 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2009
Session	November
Topic	Binomial Theorem (positive integer n)
Type	Ratio of coefficients condition

Find, in terms of the non-zero constant \(k\), the first 4 terms in the expansion of \(( k + x ) ^ { 8 }\) in ascending powers of \(x\).
Given that the coefficients of \(x ^ { 2 }\) and \(x ^ { 3 }\) in this expansion are equal, find the value of \(k\).