precalculus math

Question

for the polynomial below, 3 is a zero. g(x)=x^3-3x^2-4x+12. express g(x) as a product of linear factors

Answer 1

Divide synthetically by x - 3:

3l 1 -3 -4 12

______3____0__-12

1 0 -4 0

g(x) = (x - 3)(x² - 4) = (x - 3)(x - 2)(x + 2)

Answer 2