Question 109
Determine whether there exist non-constant polynomials $P(x)$ and $Q(x)$ with real coefficients satisfying
$$
P(x)^{10} + P(x)^9 = Q(x)^{21} + Q(x)^{20}.
$$
$$
P(x)^{10} + P(x)^9 = Q(x)^{21} + Q(x)^{20}.
$$
MathNet 2018-part-04 — 181 problems (EN–VI) Question 109
Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)