AQA Paper 3 2021 June — Question 4

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2021
SessionJune
TopicBinomial Theorem (positive integer n)
TypeSingle binomial expansion

4
  1. Show that the first three terms, in descending powers of \(x\), of the expansion of $$( 2 x - 3 ) ^ { 10 }$$ are given by $$1024 x ^ { 10 } + p x ^ { 9 } + q x ^ { 8 }$$ where \(p\) and \(q\) are integers to be found.
    4
  2. Find the constant term in the expansion of $$\left( 2 x - \frac { 3 } { x } \right) ^ { 10 }$$