# How do you divide (x^3-6x-25x-18)÷(x+2)?

Oct 11, 2015

Remainder: $48$

#### Explanation:

Use the Factor Theorem which states that:

If $x - a$ is a factor of the polynomial $f \left(x\right) \Rightarrow f \left(a\right) = 0$

Take $\left(x + 2\right) = 0$ so $x = - 2$.

$f \left(- 2\right) = {\left(- 2\right)}^{3} - 6 \left(- 2\right) - 25 \left(- 2\right) - 18$

$= 48$

Hence $48$ is your remainder.