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

1 Answer
Noah G
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:

-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!

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