Question

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

Answer 1

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:

`-3x^2 + 4x + 3`, with a remainder of `-33`

Thus, `(x + 1)(-3x^2 + 4x + 3) - 33 = -3x^3 + x^2 + 7x - 30`

Hopefully this helps!