CAIE P2 2005 November — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2005
SessionNovember
TopicPolynomial Division & Manipulation

2 The polynomial \(x ^ { 3 } + 2 x ^ { 2 } + 2 x + 3\) is denoted by \(\mathrm { p } ( x )\).
  1. Find the remainder when \(\mathrm { p } ( x )\) is divided by \(x - 1\).
  2. Find the quotient and remainder when \(\mathrm { p } ( x )\) is divided by \(x ^ { 2 } + x - 1\).