Edexcel C2 — Question 4

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
TopicBinomial Theorem (positive integer n)
TypeFirst few terms given find parameters

4. The first three terms in the expansion in descending powers of \(x\) of $$\left( x + \frac { k } { x ^ { 2 } } \right) ^ { 15 } ,$$ where \(k\) is a constant, are $$x ^ { 15 } + 30 x ^ { 12 } + A x ^ { 9 } .$$
  1. Find the values of \(k\) and \(A\).
  2. Find the value of the term independent of \(x\) in the expansion.