Description

A polynomial of degree $n$ over the integers has the form:

$$a_n x^n + a_{n-1} x^{n-1} + \cdots + a_1 x^1 + a_0 x^0$$

...where $x^1$ $=$ $x$ and $x^0$ $=$ $1$, and $a_i$ (called coefficient $i$) is an integer, for 0 $\leq$ $i$ $\leq$ $n$. There is a special case for the zero polynomial which we will define has having degree -1 and no coefficients.