Factor: x3−3x2−10x+24x^3 - 3x^2 - 10x + 24x3−3x2−10x+24 given that x=2x=2x=2 is a root.
(x−2)(x−4)(x+3)(x-2)(x-4)(x+3)(x−2)(x−4)(x+3)
(x−2)(x2−x−12)(x-2)(x^2-x-12)(x−2)(x2−x−12)
(x−2)(x+4)(x−3)(x-2)(x+4)(x-3)(x−2)(x+4)(x−3)
(x−2)2(x−6)(x-2)^2(x-6)(x−2)2(x−6)