Question 41
Let $n$ be a positive integer. Find all polynomials $P$ with real coefficients such that
$$
P\left(x^{2}+x-n^{2}\right)=P(x)^{2}+P(x)
$$
for all real numbers $x$.
$$
P\left(x^{2}+x-n^{2}\right)=P(x)^{2}+P(x)
$$
for all real numbers $x$.
MathNet 2022-part-05 — 197 problems (EN–VI) Question 41
Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)