MathNet 2002 — Part 01 Question 153

Let $P(X) = a X^{2} + b X + c$ be a second degree polynomial with real coefficients (i.e. $a, b, c$ are real numbers and $a \neq 0$). If $P(2000) = 2000$ and $P(2001) = 2001$, then $P(2002)$ cannot be equal to: