Hello there,

I need to find the polynomials and , which are of thelowest possible degreeandsatisfy the given condition:

All I want to know is how to findthe lowest possible degreethat the polynomials should be of. I can solve the rest using the method of undetermined coefficients—but if there's another way (preferably easier), then feel free to share.

This is my first post here, so please bear with me if I did anything wrong.

Thanks in advance.