Review question

# Can we factorise $6x^3+5x^2-17x-6$ completely? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6577

## Question

1. Given that $f(x)=6x^3+5x^2-17x-6$,

1. find the remainder when $f(x)$ is divided by $x-2$,
2. find the remainder when $f(x)$ is divided by $x+2$,
3. factorise $f(x)$ completely.
2. Given that the expression $ax^3-x^2+bx+18$ is exactly divisible by $x^2+x-6$, find the value of $a$ and $b$.