Question 156
Find all polynomials $P$ with real coefficients such that
$$
P(x^2) + 2P(x) = (P(x))^2 + 2
$$
holds for every real number $x$.
$$
P(x^2) + 2P(x) = (P(x))^2 + 2
$$
holds for every real number $x$.
MathNet 2017-part-01 — 176 problems (EN–VI) Question 156
Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)