need help asap alg2

Question

Determine if x + 3 is a factor of -3x^3+6x^2+6x+9 how do you know

Answer 1

x - c is a factor of a polynomial function f(x) only when f(c) = 0.

So, if f(x) = -3x³ + 6x² + 6x + 9, then f(-3) = 81 + 54 - 18 + 9 ≠ 0.

Therefore, x + 3 = x - (-3) is NOT a factor of f(x).