Edexcel FP1 2012 June — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJune
TopicFactor & Remainder Theorem
TypeGiven factor, find all roots

1. $$f ( x ) = 2 x ^ { 3 } - 6 x ^ { 2 } - 7 x - 4$$
  1. Show that \(\mathrm { f } ( 4 ) = 0\)
  2. Use algebra to solve \(\mathrm { f } ( x ) = 0\) completely.