Edexcel C4 2009 June — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2009
SessionJune
TopicGeneralised Binomial Theorem
TypeFactoring out constants first

1. $$f ( x ) = \frac { 1 } { \sqrt { ( 4 + x ) } } , \quad | x | < 4$$ Find the binomial expansion of \(\mathrm { f } ( x )\) in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\). Give each coefficient as a simplified fraction.
(6)