Edexcel C2 2005 June — Question 4

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2005
SessionJune
TopicBinomial Theorem (positive integer n)
TypeTwo equations from coefficients

  1. Write down the first three terms, in ascending powers of \(x\), of the binomial expansion of \(( 1 + p x ) ^ { 12 }\), where \(p\) is a non-zero constant. Given that, in the expansion of \(( 1 + p x ) ^ { 12 }\), the coefficient of \(x\) is \(( - q )\) and the coefficient of \(x ^ { 2 }\) is \(11 q\),
  2. find the value of \(p\) and the value of \(q\).