OCR C2 2011 June — Question 5

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
TopicBinomial Theorem (positive integer n)
TypeFirst few terms given find parameters
5 The first four terms in the binomial expansion of \(( 3 + k x ) ^ { 5 }\), in ascending powers of \(x\), can be written as \(a + b x + c x ^ { 2 } + d x ^ { 3 }\).
  1. State the value of \(a\).
  2. Given that \(b = c\), find the value of \(k\).
  3. Hence find the value of \(d\).
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