Question 65
Find all polynomials $P(x)$ with real coefficients satisfying the condition
$$
P(x^2) + x(3P(x) + P(-x)) = (P(x))^2 + 2x^2
$$
for all real numbers $x$.
$$
P(x^2) + x(3P(x) + P(-x)) = (P(x))^2 + 2x^2
$$
for all real numbers $x$.
MathNet 2006 — Part 05 Question 65
Math Olympiad Vault · MathNet 2006 — Part 05