Difference between revisions of "Factor Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> |
{{command|cas=true|algebra}} | {{command|cas=true|algebra}} | ||
{{Alternate Language|region=US|page_type=Command|US_version=Factor|UK_version=Factorise|Aus_version=Factorise}} | {{Alternate Language|region=US|page_type=Command|US_version=Factor|UK_version=Factorise|Aus_version=Factorise}} | ||
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;Factor[ <Polynomial> ] | ;Factor[ <Polynomial> ] | ||
:Factors the polynomial. | :Factors the polynomial. | ||
− | :{{example|1=<div><code><nowiki>Factor[x^2 - y^2]</nowiki></code> yields ''(x | + | :{{example|1=<div><code><nowiki>Factor[x^2 - y^2]</nowiki></code> yields ''(x - y) (x + y)''.</div>}} |
;Factor[ <Expression>, <Variable> ] | ;Factor[ <Expression>, <Variable> ] | ||
:Factors an expression with respect to a given variable. | :Factors an expression with respect to a given variable. | ||
:{{example|1=<div> | :{{example|1=<div> | ||
− | :* <code><nowiki>Factor[x^2 - y^2, x]</nowiki></code> yields ''(x | + | :* <code><nowiki>Factor[x^2 - y^2, x]</nowiki></code> yields ''(x - y) (x + y)'', the factorization of ''x<sup>2</sup> - y<sup>2</sup>'' with respect to ''x'', |
− | :* <code><nowiki>Factor[x^2 - y^2, y]</nowiki></code> yields ''(-x | + | :* <code><nowiki>Factor[x^2 - y^2, y]</nowiki></code> yields ''-(y - x) (y + x)'', the factorization of ''x<sup>2</sup> - y<sup>2</sup>'' with respect to ''y''.</div>}} |
{{note| 1=This command factors expressions over the [[w:Rational_number|Rational Numbers]]. To factor over irrational real numbers, see the [[IFactor Command]]. To factor over complex numbers, see the [[CFactor Command]] and [[CIFactor Command]].}} | {{note| 1=This command factors expressions over the [[w:Rational_number|Rational Numbers]]. To factor over irrational real numbers, see the [[IFactor Command]]. To factor over complex numbers, see the [[CFactor Command]] and [[CIFactor Command]].}} |
Revision as of 11:10, 23 July 2015
This command differs among variants of English:
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- Factor[ <Polynomial> ]
- Factors the polynomial.
- Example:
Factor[x^2 + x - 6]
yields (x - 2) (x + 3).
Note: This command needs to load the Computer Algebra System, so can be slow on some computers.
CAS Syntax
- Factor[ <Polynomial> ]
- Factors the polynomial.
- Example:
Factor[x^2 - y^2]
yields (x - y) (x + y).
- Factor[ <Expression>, <Variable> ]
- Factors an expression with respect to a given variable.
- Example:
Factor[x^2 - y^2, x]
yields (x - y) (x + y), the factorization of x2 - y2 with respect to x,Factor[x^2 - y^2, y]
yields -(y - x) (y + x), the factorization of x2 - y2 with respect to y.
Note: This command factors expressions over the Rational Numbers. To factor over irrational real numbers, see the IFactor Command. To factor over complex numbers, see the CFactor Command and CIFactor Command.