Edexcel C4 2007 June — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2007
SessionJune
TopicGeneralised Binomial Theorem
TypeSeries expansion of rational function

1. $$f ( x ) = ( 3 + 2 x ) ^ { - 3 } , \quad | x | < \frac { 3 } { 2 }$$ Find the binomial expansion of \(\mathrm { f } ( x )\), in ascending powers of \(x\), as far as the term in \(x ^ { 3 }\).
Give each coefficient as a simplified fraction.
(5)