Edexcel P2 2019 October — Question 3

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2019
SessionOctober
TopicBinomial Theorem (positive integer n)
TypeProduct with reciprocal term binomial

3. (a) Find the first 4 terms, in ascending powers of \(x\), in the binomial expansion of $$\left( 1 + \frac { x } { 4 } \right) ^ { 12 }$$ giving each coefficient in its simplest form.
(b) Find the term independent of \(x\) in the expansion of $$\left( \frac { x ^ { 2 } + 8 } { x ^ { 5 } } \right) \left( 1 + \frac { x } { 4 } \right) ^ { 12 }$$