# OpenMath Content Dictionary: polyoperators1

Canonical URL:
http://www.riaca.win.tue.nl/cds/poly1.ocd
CD Base:
http://www.openmath.org/cd
CD File:
polyoperators1.ocd
CD as XML Encoded OpenMath:
polyoperators1.omcd
Defines:
expand, factor, factors, gcd
Date:
2004-06-01
Version:
1 (Revision 1)
Review Date:
2006-06-01
Status:
experimental

We define several polynomial operators.

## gcd

Description:

The n-ary greatest common divisor for univariate polynomials.

Example:
The gcd(X,Y,Z).
$\mathrm{gcd}\left(X,Y,Z\right)$
Signatures:
sts

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## factor

Description:

The action of factoring a polynomial into irreducible factors (I know this is field dependent but lets keep it simple by now).

Example:
$\mathrm{factor}\left(X\right)$
Signatures:
sts

 [Next: factors] [Previous: gcd] [Top]

## factors

Description:

The action of returning a list composed of the irreducible factors of a polynomial. (I know this is field dependent but lets keep it simple by now).

Example:
The gcd(X,Y,Z).
$\mathrm{factors}\left(X\right)$
Signatures:
sts

 [Next: expand] [Previous: factor] [Top]

## expand

Description:

Expands a polynomial. Acts as expand(expresion).

Signatures:
sts

 [First: gcd] [Previous: factors] [Top]