CAIE P2 2015 June — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2015
SessionJune
TopicFactor & Remainder Theorem
TypeFind constant, factorise completely
2
  1. Given that \(( x + 2 )\) is a factor of $$4 x ^ { 3 } + a x ^ { 2 } - ( a + 1 ) x - 18$$ find the value of the constant \(a\).
  2. When \(a\) has this value, factorise \(4 x ^ { 3 } + a x ^ { 2 } - ( a + 1 ) x - 18\) completely.
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