Edexcel FP1 — Question 1

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

1. $$f ( x ) = 2 x ^ { 3 } - 8 x ^ { 2 } + 7 x - 3$$ Given that \(x = 3\) is a solution of the equation \(\mathrm { f } ( x ) = 0\), solve \(\mathrm { f } ( x ) = 0\) completely.
(5)