Definition:Divisor of Polynomial

Definition
Let $D$ be an integral domain.

Let $D[x]$ be the polynomial ring in one variable over $D$.

Let $f, g \in D[x]$ be polynomials.

Then:
 * $f$ divides $g$
 * $f$ is a divisor of $g$
 * $f$ is a factor of $g$
 * $g$ is divisible by $f$

denoted $f \mid g$, $\exists h \in D[x] : g = fh$.

Generalizations

 * Definition:Divisor of Ring Element, see Ring of Polynomial Forms is Integral Domain