OCR MEI C4 — Question 1

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

1
  1. Find the first three terms of the binomial expansion of \(\frac { 1 } { \sqrt [ 3 ] { 1 - 2 x } }\). State the set of values of \(x\) for which
    the expansion is valid.
  2. Hence find \(a\) and \(b\) such that \(\frac { 1 - 3 x } { \sqrt [ 3 ] { 1 - 2 x } } = 1 + a x + b x ^ { 2 } + \ldots\).