Question 4 - A-Level Maths

Exam Board	Edexcel
Module	C12 (Core Mathematics 1 & 2)
Year	2016
Session	October
Topic	Factor & Remainder Theorem
Type	Direct remainder then factorise

4. $$f ( x ) = 6 x ^ { 3 } - 7 x ^ { 2 } - 43 x + 30$$

Find the remainder when $\mathrm { f } ( x )$ is divided by
1. $2 x + 1$
2. $x - 3$
Hence factorise $\mathrm { f } ( x )$ completely.