Date modified: Thu 2023-05-11 . 11:51 AM
Date created: Sat 2023-10-07 . 09:02 PM
# Guessing a natural polynomial. Suppose you are given a mysterious polynomial $p(x) \in \mathbb N_0 [x]$, where we do not know its degree nor any coefficients, except we do know its coeffients are non-negative integers. You may ask to evaluate $p$ at any input $x$ of your choosing, and you will be given the value of $p(x)$. In how many tries can you completely determine this polynomial $p$? Do it in the least possible tries possible. #puzzle #polynomial