Question

1. Divide 6x^4 + 2x^3 – 6x^2 – 14x – 1 by 3x + 1 by using synthetic division or long division. Show all

your work. Then explain if 3x + 1 is a factor of the dividend.
Is 3x + 1 a factor? ______ Why or why not?

Answer 1

2x^3 - 2x - 4

3x + 1 6x^4 + 2x^3 - 6x^2 - 14x - 1
6x^4 + 2x^3

-6x^2 - 14x - 1
-6x^2 - 2x

-12x - 1
-12x - 4

3

3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.