Definition:Content of Polynomial

Definition
Let $f \in \Q \left[{X}\right]$ be a polynomial with rational coefficients.

Let $n \in \N$ be such that $n f \in \Z \left[{X}\right]$.

Let $d$ be the greatest common divisor of the coefficients of $nf$.

Then the content of $f$ is $\operatorname{cont} \left({f}\right) = \dfrac d n$.

Also denoted as
$\operatorname{cont} \left({f}\right)$ is also seen denoted $c_f$.

Also see

 * Primitive polynomial: A polynomial $f$ is primitive if $\operatorname{cont} \left({f}\right) = 1$.