Need help factoring a polynomial into linear factors.

Question

1 is a zero.

h(x) =×^3 +3x^2 +9x -13

express h(x) as a product of linear factors

Answer 1

They gave you the first zero, the factor for this zero would be (x-1)

Use synthetic division with the given zero

1 | 1 3 9 -13

1 4 13

1 4 13 0

The polynomial that remains using the synthetic division results is x²+4x+13

If this were factorable, you could factor it. It isn't. You have to use the quadratic equation to get the zeros and the zero to find the factors.