Answer:

Explanation:
Given


Required
Factorization of f(x)
The given zeros imply that:

This gives:

So, some factors are:
(x + 2), (x + 1) and (x - 2)
Divide f(x) by the factors, to get the other factors:

Using a factorization calculator, we have:

Cancel out common terms

Using quadratic formula, we have:

Where




Using complex notation

So:

Simplify the fraction

Split

Equate to 0

The other factors are: (x +2 - 4i) and (x +2 + 4i)
Hence, the factorization of f(x) is:
