Difference between revisions of "Factor Command"

From GeoGebra Manual
Jump to: navigation, search
Line 3: Line 3:
 
{{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}}  
 
;Factor[ <Polynomial> ]
 
;Factor[ <Polynomial> ]
:Factorizes the polynomial.
+
:Factors the polynomial.
 
:{{example| 1=<div><code><nowiki>Factor[x^2 + x - 6]</nowiki></code> yields ''f(x) = (x - 2) (x + 3)''.</div>}}
 
:{{example| 1=<div><code><nowiki>Factor[x^2 + x - 6]</nowiki></code> yields ''f(x) = (x - 2) (x + 3)''.</div>}}
 
==CAS Syntax==
 
==CAS Syntax==
 
;Factor[ <Polynomial> ]
 
;Factor[ <Polynomial> ]
:Factorizes the polynomial.
+
:Factors the polynomial.
 
:{{example|1=<div><code><nowiki>Factor[x^2 - y^2]</nowiki></code> yields ''(x + y) (x - y)''.</div>}}
 
:{{example|1=<div><code><nowiki>Factor[x^2 - y^2]</nowiki></code> yields ''(x + y) (x - y)''.</div>}}
 
;Factor[ <Expression>, <Variable> ]
 
;Factor[ <Expression>, <Variable> ]
:Factorizes 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 + 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, 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 - y) (-x + y)'', the factorization of ''x<sup>2</sup> - y<sup>2</sup>'' with respect to ''y''.</div>}}
 
:* <code><nowiki>Factor[x^2 - y^2, y]</nowiki></code> yields ''(-x - y) (-x + y)'', the factorization of ''x<sup>2</sup> - y<sup>2</sup>'' with respect to ''y''.</div>}}
 
{{note| 1=<div>
 
{{note| 1=<div>
See also [[CFactor Command]].
+
This command factors expressions over the [[w:Rational|Rational Numbers]]. To factor over complex numbers, see the [[CFactor Command]].
 
</div>}}
 
</div>}}

Revision as of 11:39, 19 October 2012


Factor[ <Polynomial> ]
Factors the polynomial.
Example:
Factor[x^2 + x - 6] yields f(x) = (x - 2) (x + 3).

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 (-x - y) (-x + y), the factorization of x2 - y2 with respect to y.
Note:

This command factors expressions over the Rational Numbers. To factor over complex numbers, see the CFactor Command.

© 2024 International GeoGebra Institute