Edexcel AS Paper 1 — Question 11

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
TopicBinomial Theorem (positive integer n)
TypeFirst few terms given find parameters

11. The first 3 terms, in ascending powers of \(x\), in the binomial expansion of \(( 1 + k x ) ^ { 10 }\) are given by $$1 + 15 x + p x ^ { 2 }$$ where \(k\) and \(p\) are constants.
a. Find the value of \(k\)
b. Find the value of \(p\)
c. Given that, in the expansion of \(( 1 + k x ) ^ { 10 }\), the coefficient of \(x ^ { 4 }\) is \(q\), find the value of \(q\).