Solution
= Solution
The <polynomial> $p(x)=x^2-2x$ already has degree at most three and gives the specified data at every node. Uniqueness of <polynomial interpolation> therefore gives
$$
\boxed{p(x)=x^2-2x}.
$$
= Solution
The <polynomial> $p(x)=x^2-2x$ already has degree at most three and gives the specified data at every node. Uniqueness of <polynomial interpolation> therefore gives
$$
\boxed{p(x)=x^2-2x}.
$$