CAIE P2 2012 November — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2012
SessionNovember
TopicPolynomial Division & Manipulation

3 The polynomial \(x ^ { 4 } - 4 x ^ { 3 } + 3 x ^ { 2 } + 4 x - 4\) is denoted by \(\mathrm { p } ( x )\).
  1. Find the quotient when \(\mathrm { p } ( x )\) is divided by \(x ^ { 2 } - 3 x + 2\).
  2. Hence solve the equation \(\mathrm { p } ( x ) = 0\).