# How do you divide ( -3x^3+ x^2+7x-30 )/(x + 1 )?

Apr 29, 2016

Divide by synthetic division.

#### Explanation:

$x + 1 = 0$

$x = - 1$

I apologize for the following formatting (this is the best I can do!!!):

-1 __| -3, 1, 7, -30

Bringing the -3 down and multiplying with the -1, to give 3, and then adding the 3 to 1 to get 4, and then sending the 4 into multiplication with the -1, continuing the process you end with:

$- 3 {x}^{2} + 4 x + 3$, with a remainder of $- 33$

Thus, $\left(x + 1\right) \left(- 3 {x}^{2} + 4 x + 3\right) - 33 = - 3 {x}^{3} + {x}^{2} + 7 x - 30$

Hopefully this helps!