CAIE P2 2015 November — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2015
SessionNovember
TopicPolynomial Division & Manipulation
4
  1. Find the quotient when \(3 x ^ { 3 } + 5 x ^ { 2 } - 2 x - 1\) is divided by ( \(x - 2\) ), and show that the remainder is 39 .
  2. Hence show that the equation \(3 x ^ { 3 } + 5 x ^ { 2 } - 2 x - 40 = 0\) has exactly one real root.
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