Find the polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of multiplicity of 1

First, our polynomial has a zero of -4 with multiplicity 3 so we have:

And it also has x = 0 with multiplicity 1 so our polynomial turns out to be:

We can multiply and distribute this function to check that it is indeed a polynomial of degree 4.

The answer mai bc