As nouns the difference between polynomial and polynome

is that polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as $a\_n\; x^n\; +\; a\_\{n-1\}x^\{n-1\}\; +\; ...\; +\; a\_0\; x^0$ while polynome is polynomial.

As an adjective polynomial

is able to be described or limited by a polynomial.