For the polynomial below, −2 is a zero. g(x)=x^3 + 6x^2 + 11x + 6. Express g(x) as a product of linear factors.

Question

the answer alone is fine for me.

Answer 1

(x^3 + 11x^2 + 6x + 6)/(x+2) = x^2 +4x +3 = (x+1)(x+3)

g(x) = (x+1)(x+2)(x+3)

Answer 2

g(z)/(x + 2) = (x² + 4x + 3) (we did by synthetic division)

g(z) = (x + 2)(x + 1)(x + 3)