The polynomial that is factorized completely is (4x + 4)(x + 1).
A completely factorized polynomial can be written as:
y = a*(x - x₁)*(x - x₂)*...
Where x₁, x₂, etc. are the zeros of the polynomial.
So we write our polynomial as a product of polynomials of degree 1.
The only one written in this form is the second option, which is:
p(x) = (4x + 4)*(x + 1)
In all the other options we have factors with degrees larger than one, so neither of these is completely factorized.
If you want to learn more about polynomials, you can read:
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