# How do you use the remainder theorem to determine the remainder when the polynomial 3x^3-12x-2 is divided by x+2?

Mar 8, 2017

$- 2.$

#### Explanation:

The Remainder Theorem : If a poly. $P \left(x\right)$ is divided by $\left(a x + b\right) ,$

the remainder is $P \left(- \frac{b}{a}\right) .$

Accordingly, the remainder$= 3 {\left(- 2\right)}^{3} - 12 \left(- 2\right) - 2 = - 24 + 24 - 2 = - 2.$