What is completely factored form?

A completely factored form is one which is composed of product of factors and can't be factorized further.

Let us consider two examples:

x2 - 4x + 4 is not a factored form because it can be factored as (x - 2)(x - 2).

(x +1)(x2 - 4x + 4) is also not a factored form because x2 - 4x + 4 can be factored further as (x - 2)(x - 2). So, the completely factored form is (x + 1)(x - 2)(x - 2).