Given that x=2x = 2x=2 is a root of p(x)=x3−2x2+x−2p(x) = x^3 - 2x^2 + x - 2p(x)=x3−2x2+x−2, factor p(x)p(x)p(x) completely.
(x−2)(x2+1)(x - 2)(x^2 + 1)(x−2)(x2+1)
(x+2)(x2+1)(x + 2)(x^2 + 1)(x+2)(x2+1)
(x−2)(x2−1)(x - 2)(x^2 - 1)(x−2)(x2−1)
(x−2)(x+2)(x - 2)(x + 2)(x−2)(x+2)