Consider the following polynomial function

F(x)=-2x^3-x^2+13x-6 to answer the following question.

If (x+3) is a factor of f(x) rewrite f(x) in completely factored form and identify the zeros f(x).

1 answer

well, just divide. You will see that (x+3) divides it evenly, and the quotient is -2x^2+5x-2)

so, F(x) = -(x+2)(2x^2-5x+2)
= -(x+3)(x-2)(2x-1)

The zeros can now just be read off.