OCR C4 2014 June — Question 3

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2014
SessionJune
TopicGeneralised Binomial Theorem
TypeMultiply by polynomial

3
  1. Find the first three terms in the expansion of \(( 1 - 2 x ) ^ { - \frac { 1 } { 2 } }\) in ascending powers of \(x\), where \(| x | < \frac { 1 } { 2 }\).
  2. Hence find the coefficient of \(x ^ { 2 }\) in the expansion of \(\frac { x + 3 } { \sqrt { 1 - 2 x } }\).