Definition:Content of Polynomial

Definition
Let $f \in \Z[X]$ be a polynomial.

Then the content of $f$, $\operatorname{cont}(f)$ is the greatest common divisor of the coefficients of $f$.

If $f \in \Q[X]$ then there is some $n \in \N$ such that $nf \in \Z[X]$.

Then we define the content of $f$ to be $\operatorname{cont}(f) := n^{-1} \operatorname{cont}(nf)$.

We call $f$ primitive if it $\operatorname{cont}(f) = 1$.