Three is a zero of the equation x3-4x2-3x+18=0. which factored form is equivalent to the equation?

Three is zero of the equation, so,

↪f (3) = 0

Here,

↪x³-4x²-3x+18=0

↪ x³-4x²+3x-6x+18=0

↪ x³-3x²-x²+3x-6x+18=0

↪ x² (x-3) - x (x-3) - 6 (x-3) = 0

↪ (x-3) (x²-x-6) = 0

↪f (3) = (x-3) (x²-x-6) ➡equivalent factored form