Content (algebra): Difference between revisions

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imported>Richard Pinch
(New article, my own wording from Wikipedia)
 
imported>Richard Pinch
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{{subpages}}
In [[algebra]], the '''content''' of a [[polynomial]] is the [[highest common factor]] of its coefficients.
In [[algebra]], the '''content''' of a [[polynomial]] is the [[highest common factor]] of its coefficients.


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* {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55540-9 | page=181 }}
* {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55540-9 | page=181 }}
* {{cite book | author=David Sharpe | title=Rings and factorization | publisher=[[Cambridge University Press]] | year=1987 | isbn=0-521-33718-6 | pages=68-69 }}
* {{cite book | author=David Sharpe | title=Rings and factorization | publisher=[[Cambridge University Press]] | year=1987 | isbn=0-521-33718-6 | pages=68-69 }}
[[Category:Algebra]]
[[Category:Polynomials]]
{{algebra-stub}}

Revision as of 15:00, 29 October 2008

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This editable Main Article is under development and subject to a disclaimer.

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