Edexcel AS Paper 1 2021 November — Question 8

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
Year2021
SessionNovember
TopicBinomial Theorem (positive integer n)
TypeFirst few terms given find parameters

8. $$g ( x ) = ( 2 + a x ) ^ { 8 } \quad \text { where } a \text { is a constant }$$ Given that one of the terms in the binomial expansion of \(\mathrm { g } ( x )\) is \(3402 x ^ { 5 }\)
  1. find the value of \(a\). Using this value of \(a\),
  2. find the constant term in the expansion of $$\left( 1 + \frac { 1 } { x ^ { 4 } } \right) ( 2 + a x ) ^ { 8 }$$