You can
put this solution on YOUR website!
I'm thinking this is a trick question:
The zero polynomial is 0 and it is of zero degree and
it is a perfect square, so if you multiply any polynomial by
the zero polynomial 0, you'll get the zero polynomial 0.
Answer: the zero polynomial which is just 0
I know this is a very trivial answer but taking the question
literally, it is the only correct solution.
Edwin