Question 6 - A-Level Maths

Exam Board	OCR MEI
Module	AS Paper 1 (AS Paper 1)
Year	2018
Session	June
Topic	Factor & Remainder Theorem
Type	Standard verify, factorise, solve

6 In this question you must show detailed reasoning.
You are given that \(\mathrm { f } ( x ) = 4 x ^ { 3 } - 3 x + 1\).

Use the factor theorem to show that \(( x + 1 )\) is a factor of \(\mathrm { f } ( x )\).
Solve the equation \(\mathrm { f } ( x ) = 0\).