CAIE P2 2017 June — Question 6

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2017
SessionJune
TopicFactor & Remainder Theorem
TypeVerify factor then solve related equation
6
  1. Use the factor theorem to show that ( \(x + 2\) ) is a factor of the expression $$6 x ^ { 3 } + 13 x ^ { 2 } - 33 x - 70$$ and hence factorise the expression completely.
  2. Deduce the roots of the equation $$6 + 13 y - 33 y ^ { 2 } - 70 y ^ { 3 } = 0$$
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