CAIE P2 2012 June — Question 3

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

3
  1. Find the quotient when the polynomial $$8 x ^ { 3 } - 4 x ^ { 2 } - 18 x + 13$$ is divided by \(4 x ^ { 2 } + 4 x - 3\), and show that the remainder is 4 .
  2. Hence, or otherwise, factorise the polynomial $$8 x ^ { 3 } - 4 x ^ { 2 } - 18 x + 9$$