OCR FP1 2010 January — Question 2

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJanuary
TopicRoots of polynomials

2 The cubic equation \(2 x ^ { 3 } + 3 x - 3 = 0\) has roots \(\alpha , \beta\) and \(\gamma\).
  1. Use the substitution \(x = u - 1\) to find a cubic equation in \(u\) with integer coefficients.
  2. Hence find the value of \(( \alpha + 1 ) ( \beta + 1 ) ( \gamma + 1 )\).