OME 2002 Problem 1

Find all the polynomials $P(t)$ of one variable that fullfill the following for all real numbers $x$ and $y$ : $P(x^2-y^2) = P(x+y)P(x-y)$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.