The polynomial P(x)=x4−6x3+5x2+24x−36P(x) = x^4 - 6x^3 + 5x^2 + 24x - 36P(x)=x4−6x3+5x2+24x−36 has x=3x = 3x=3 as a double root. Factor completely.
(x−3)2(x+2)(x−2)(x-3)^2(x+2)(x-2)(x−3)2(x+2)(x−2)
(x−3)2(x−2)2(x-3)^2(x-2)^2(x−3)2(x−2)2
(x−3)3(x+2)(x-3)^3(x+2)(x−3)3(x+2)
(x−3)2(x2−4)(x-3)^2(x^2-4)(x−3)2(x2−4)