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MathNet 2022-part-06 — 196 problems (EN–VI) Question 131

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 131

Let $P(x)$ be a quadratic polynomial with real coefficients. Suppose that $P(1)=20$, $P(-1)=22$, and $P(P(0))=400$. Compute the largest possible value of $P(10)$.