OCR C2 2016 June — Question 3

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2016
SessionJune
TopicBinomial Theorem (positive integer n)
TypeRatio of coefficients condition

3
  1. Find the binomial expansion of \(( 3 + k x ) ^ { 3 }\), simplifying the terms.
  2. It is given that, in the expansion of \(( 3 + k x ) ^ { 3 }\), the coefficient of \(x ^ { 2 }\) is equal to the constant term. Find the possible values of \(k\), giving your answers in an exact form.