Question

What is the complete factorization of the polynomial function over the set of complex numbers?

f(x)=x3−4x2+4x−16

Answer 1

(x^2 + 4)(x - 4)

This is the furthest you can go as x^2 + 4 cannot be factored any further. 

Also, you can get this using the splitting method for polynomials. 

Answer 2

Just took the quiz, so I can confirm the answer attached below.

Hope I could help!