Math Help - Weird Polynomials

Q: Find a polynomial P(X) of degree n , with real coefficients, satisfying:

P(X)|P(X^2 − 2007X + 2007)




I don't know how to even begin solving this

Originally Posted by unstopabl3

satisfying:

P(X)|P(X2 − 2007X + 2007)

hmmm, is this supposed to equal something?

Made a small mistake, corrected it now.
And no, that's the whole question :/