Using the factor theorem, which of the following is a factor of the polynomial below?

3x^3-4x^2-13x-6

a. x+6
b. x+3
c. x-4
d. x+1

ANSWER

The correct choice is D.

EXPLANATION

Let



According to the Factor Theorem, if x-a is a factor of f(x), then f(a)=0.

For option A,





Hence x+6 is not a factor.

For option B,





x+3 is also not a factor.

For option C,





Option D,







x+1 is a factor.