What is the complete factorization of the polynomial function over the set of complex numbers?
f(x)=x^3−4x^2+4x−16
x^3−4x^2+4x−16 factor by grouping
x^2 ( x - 4) + 4 ( x - 4) =
(x - 4) (x^2 + 4) =
(x - 4) ( x + 2i) ( x - 2i)