Math brain teaser

[Les_Koller]

Say you choose just pi. If our polynomial is p(x) = x we get pi. If our polynomial is p(x) = pi, then we also get pi, thus not identifying the polynomial completely. Using e (or any other number, it doesn't have to be e) we get e for p(x) = x, and pi for p(x) = pi. That helps us determine between these two polynomials.