Primitive part and content

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.

See also

• Rational root theorem

References

• B. Hartley; T.O. Hawkes (1970). Rings, modules and linear algebra. Chapman and Hall. ISBN 0-412-09810-5.
• Page 181 of Lang, Serge (1993), Algebra (Third ed.), Reading, Mass.: Addison-Wesley, ISBN 978-0-201-55540-0, Zbl 0848.13001
• David Sharpe (1987). Rings and factorization. Cambridge University Press. pp. 68–69. ISBN 0-521-33718-6.