Edexcel C2 2008 June — Question 1

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2008
SessionJune
TopicFactor & Remainder Theorem
TypeKnown polynomial, verify then factorise

1. $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 39 x + 20$$
  1. Use the factor theorem to show that \(( x + 4 )\) is a factor of \(\mathrm { f } ( x )\).
  2. Factorise f ( \(x\) ) completely.