Question 1 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2019
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Single coefficient given directly

1 The term independent of \(x\) in the expansion of \(\left( 2 x + \frac { k } { x } \right) ^ { 6 }\), where \(k\) is a constant, is 540.

Find the value of \(k\).
For this value of \(k\), find the coefficient of \(x ^ { 2 }\) in the expansion.