Question 6 - A-Level Maths

Exam Board	OCR
Module	C2 (Core Mathematics 2)
Topic	Factor & Remainder Theorem
Type	Apply remainder theorem only

6. $$f ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 } - 6 x + 1$$

Find the remainder when $\mathrm { f } ( x )$ is divided by ( $2 x - 1$ ).
1. Find the remainder when $\mathrm { f } ( x )$ is divided by $( x + 2 )$.
2. Hence, or otherwise, solve the equation $$2 x ^ { 3 } + 3 x ^ { 2 } - 6 x - 8 = 0$$