how factor form

Question

Given , find the zeros, real and non-real of  

The zeros are  4,4i,-4i

Write  in complete factored form (as a product of linear factors). 

Answer 1

If c is a root of a polynomial function P(x), then x - c is a factor.

The zeros (roots) of P(x) are -4, 4i, and -4i

So, P(x) = (x+4)(x-4i)(x+4i)