Question 4 - A-Level Maths

Exam Board	Edexcel
Module	PMT Mocks (PMT Mocks)
Topic	Binomial Theorem (positive integer n)
Type	Ratio of coefficients condition

In the binomial expansion of \(( 2 - k x ) ^ { 10 }\) where \(k\) is a non-zero positive constant.

The coefficient of \(x ^ { 4 }\) is 256 times the coefficient of \(x ^ { 6 }\).
Find the value of \(k\).