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