content of a polynomial

Let $P=a_0+a_{1}x+\mathrm{\dots }+a_n{x}^n\in \mathbb{Z}[x]$ be a polynomial with integer coefficients. The content of $P$ is the greatest common divisor of the coefficients of $P$.

$$c(P)=\gcd (a_0,a_1,\mathrm{\dots },a_n)$$

Title	content of a polynomial
Canonical name	ContentOfAPolynomial
Date of creation	2013-03-22 13:33:42
Last modified on	2013-03-22 13:33:42
Owner	Daume (40)
Last modified by	Daume (40)
Numerical id	4
Author	Daume (40)
Entry type	Definition
Classification	msc 11C08
Related topic	ProductOfFinitelyGeneratedIdeals