Question 166
Find all polynomials $P$ with real coefficients for which the equality
$$
P(x^2) = P(x) \cdot P(x+2)
$$
holds for every real number $x$.
$$
P(x^2) = P(x) \cdot P(x+2)
$$
holds for every real number $x$.
MathNet 2007-part-01 — 187 problems (EN–VI) Question 166
Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)