Difference between revisions of "IFactor Command"

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(link to CIfactor cmd)
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<noinclude>{{Manual Page|version=4.2}}</noinclude>{{betamanual|version=4.4}}
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>{{betamanual|version=4.4}}
 
{{command|geogebra}}
 
{{command|geogebra}}
 +
;IFactor[ <Polynomial> ]
 +
:Factors over the irrationals.
 +
:{{Example|1=<div><code>IFactor[x^2 + x - 1]</code> gives <math> \left( x + \frac{-\sqrt{5} + 1}{2} \right) \;  \left( x + \frac{\sqrt{5} + 1}{2} \right)</math></div>}}
 
==CAS Syntax==
 
==CAS Syntax==
 
;IFactor[ <Expression> ]
 
;IFactor[ <Expression> ]
 
: Factors over the irrationals.
 
: Factors over the irrationals.
: {{Example|1=<div><code>IFactor[x^2 + x - 1]</code> returns <math> \left( x + \frac{-\sqrt{5} + 1}{2} \right) \;  \left( x + \frac{\sqrt{5} + 1}{2} \right)</math></div>}}
+
:{{Example|1=<div><code>IFactor[x^2 + x - 1]</code> returns <math> \left( x + \frac{-\sqrt{5} + 1}{2} \right) \;  \left( x + \frac{\sqrt{5} + 1}{2} \right)</math></div>}}
 
;IFactor[ <Expression>, <Variable> ]
 
;IFactor[ <Expression>, <Variable> ]
 
:Factors over the irrationals with respect to a given variable.  
 
:Factors over the irrationals with respect to a given variable.  
: {{Example|1=<div><code>IFactor[a^2 + a - 1, a]</code> returns <math> \left( a + \frac{-\sqrt{5} + 1}{2} \right) \;  \left( a + \frac{\sqrt{5} + 1}{2} \right)</math></div>}}
+
:{{Example|1=<div><code>IFactor[a^2 + a - 1, a]</code> returns <math> \left( a + \frac{-\sqrt{5} + 1}{2} \right) \;  \left( a + \frac{\sqrt{5} + 1}{2} \right)</math></div>}}
 
{{Note|1=See also [[CIFactor Command|CIFactor]] command.}}
 
{{Note|1=See also [[CIFactor Command|CIFactor]] command.}}

Revision as of 10:56, 6 December 2013


IFactor[ <Polynomial> ]
Factors over the irrationals.
Example:
IFactor[x^2 + x - 1] gives \left( x + \frac{-\sqrt{5} + 1}{2} \right) \; \left( x + \frac{\sqrt{5} + 1}{2} \right)

CAS Syntax

IFactor[ <Expression> ]
Factors over the irrationals.
Example:
IFactor[x^2 + x - 1] returns \left( x + \frac{-\sqrt{5} + 1}{2} \right) \; \left( x + \frac{\sqrt{5} + 1}{2} \right)
IFactor[ <Expression>, <Variable> ]
Factors over the irrationals with respect to a given variable.
Example:
IFactor[a^2 + a - 1, a] returns \left( a + \frac{-\sqrt{5} + 1}{2} \right) \; \left( a + \frac{\sqrt{5} + 1}{2} \right)
Note: See also CIFactor command.
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