Given P(x)=x3−4x2−7x+10P(x) = x^3 - 4x^2 - 7x + 10P(x)=x3−4x2−7x+10, if (x−5)(x-5)(x−5) is a factor, find the complete factorization and all roots.
(x−5)(x+1)(x−2)(x-5)(x+1)(x-2)(x−5)(x+1)(x−2); roots are 5,−1,25, -1, 25,−1,2
(x−5)(x−1)(x+2)(x-5)(x-1)(x+2)(x−5)(x−1)(x+2); roots are 5,1,−25, 1, -25,1,−2
(x−5)(x+2)(x−1)(x-5)(x+2)(x-1)(x−5)(x+2)(x−1); roots are 5,−2,15, -2, 15,−2,1
(x−5)(x−2)2(x-5)(x-2)^2(x−5)(x−2)2; roots are 5,2,25, 2, 25,2,2