CAIE P2 2002 June — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2002
SessionJune
TopicFactor & Remainder Theorem
TypeFind constant, factorise completely
2 The cubic polynomial \(3 x ^ { 3 } + a x ^ { 2 } - 2 x - 8\) is denoted by \(\mathrm { f } ( x )\).
  1. Given that ( \(x + 2\) ) is a factor of \(\mathrm { f } ( x )\), find the value of \(a\).
  2. When \(a\) has this value, factorise \(\mathrm { f } ( x )\) completely.
This paper (7 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7