Question 120
Find all polynomials $P(x, y)$ with real coefficients such that
$$
P(x, 2yz) + P(y, 2xz) + P(z, 2xy) = P(x + y + z, xy + xz + yz).
$$
$$
P(x, 2yz) + P(y, 2xz) + P(z, 2xy) = P(x + y + z, xy + xz + yz).
$$
MathNet 2019-part-03 — 184 problems (EN–VI) Question 120
Math Olympiad Vault · MathNet 2019-part-03 — 184 problems (EN–VI)