CAIE P2 2014 June — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2014
SessionJune
TopicPolynomial Division & Manipulation

3
  1. Find the quotient when \(6 x ^ { 4 } - x ^ { 3 } - 26 x ^ { 2 } + 4 x + 15\) is divided by ( \(x ^ { 2 } - 4\) ), and confirm that the remainder is 7 .
  2. Hence solve the equation \(6 x ^ { 4 } - x ^ { 3 } - 26 x ^ { 2 } + 4 x + 8 = 0\).