# Content (algebra)

From Citizendium, the Citizens' Compendium

In algebra, the **content** of a polynomial is the highest common factor of its coefficients.

A polynomial is *primitive* if it has content unity.

Gauss's lemma for polynomials may be expressed as stating that for polynomials over a unique factorization domain, the content of the product of two polynomials is the product of their contents.

## References

- B. Hartley; T.O. Hawkes (1970).
*Rings, modules and linear algebra*. Chapman and Hall. ISBN 0-412-09810-5. - Serge Lang (1993).
*Algebra*, 3rd ed.. Addison-Wesley. ISBN 0-201-55540-9. - David Sharpe (1987).
*Rings and factorization*. Cambridge University Press, 68-69. ISBN 0-521-33718-6.