KZ-MO 2002 Problem 6

Find all polynomials $P (x)$ with real coefficients that satisfy the identity $P (x ^ 2) = P (x) P (x + 1)$ .

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.