Definition:Content of Polynomial/Rational

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Definition

Let $f \in \Q \sqbrk X$ be a polynomial with rational coefficients.


The content of $f$ is defined as:

$\cont f := \dfrac {\cont {n f} } n$

where $n \in \N$ is such that $n f \in \Z \sqbrk X$.


Also denoted as

The content of a polynomial $f$ can be seen in the literature variously denoted as:

$\cont f$ (currently used on $\mathsf{Pr} \infty \mathsf{fWiki}$)
$c_f$
$\left\langle \! \left\langle {f} \right\rangle \! \right\rangle$


Also see

  • Results about Content of Polynomial can be found here.


Sources