Question 6 - A-Level Maths

Exam Board	Edexcel
Module	C12 (Core Mathematics 1 & 2)
Year	2016
Session	January
Topic	Factor & Remainder Theorem
Type	Standard verify, factorise, solve

6. $$f ( x ) = x ^ { 3 } + x ^ { 2 } - 12 x - 18$$

Use the factor theorem to show that $( x + 3 )$ is a factor of $\mathrm { f } ( x )$.
Factorise $\mathrm { f } ( x )$.
Hence find exact values for all the solutions of the equation $\mathrm { f } ( x ) = 0$