Question 143
Let $P(x)$ be a nonzero polynomial with real coefficients such that
$$
P(x) = P(0) + P(1) x + P(2) x^{2}
$$
holds for all $x$. What are the roots of $P(x)$?
$$
P(x) = P(0) + P(1) x + P(2) x^{2}
$$
holds for all $x$. What are the roots of $P(x)$?