Two is a zero of the equation x3-x2-14x+24=0. Which factored form is equivalent to the equation?

A: (x-3) (x-2) (x+4) = 0

B: (x-3) (x+2) (x+4) = 0

C: (x+4) (x--√2) (x+-√2) = 0

D: (x-2) (x+2) (x+4) = 0

The answer to your question is: letter A

Step-by-step explanation:

x³ - x² - 14x + 24 = 0

If two is a zero of the polynomial, then x = 2, divide the polynomial by 2.

Synthetic division

1 - 1 - 14 + 24 2

2 2 - 24

1 1 - 12 0

Result x² + x - 12 = 0

Factor the polynomial, find two numbers that multiply gives - 12 and added gives + 1.

These numbers are + 4 and - 3

+4 - 3 = + 1

(+4) (-3) = - 12

(x + 4) (x - 3) = 0

Finally

(x + 4) (x - 3) (x - 2) = 0