First, order the numerator by degrees of x:

`(4x^3-8x^2-36x+72)/(x-3)`

Now we can start the long divison. In order to display this clearly, I will not use the equation editor so that I can line everything up.

4x^2+4x -24 x-3| 4x^3- 8x^2-36x+72 ...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

First, order the numerator by degrees of x:

`(4x^3-8x^2-36x+72)/(x-3)`

Now we can start the long divison. In order to display this clearly, I will not use the equation editor so that I can line everything up.

4x^2+4x -24

x-3| 4x^3- 8x^2-36x+72

4x^3-12x^2

4x^2-36x

4x^2-12x

-24x+72

-24x+72

0

Therefore:

` ` `(4x^3-8x^2-36x+72)/(x-3) = 4x^2+4x-24`