Difference between revisions of "CIFactor Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>{{betamanual|version=4.4}}
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<noinclude>{{Manual Page|version=5.0}}</noinclude>
 
{{command|geogebra}}
 
{{command|geogebra}}
 
==CAS Syntax==
 
==CAS Syntax==
;CIFactor[ <Expression> ]
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;CIFactor( <Expression> )
 
:Factors over the complex irrationals.
 
:Factors over the complex irrationals.
:{{Example|1=<div><code>CIFactor[x^2 + x + 1]</code> returns <math> \left( x + \frac{-ί \; \sqrt{3} + 1}{2} \right) \;  \left( x + \frac{ί \; \sqrt{3} + 1}{2} \right)</math></div>}}
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:{{Example|1=<div><code>CIFactor[x^2 + x + 1]</code> returns <math> \left( x + \frac{-ί   \sqrt{3} + 1}{2} \right)   \left( x + \frac{ί   \sqrt{3} + 1}{2} \right)</math></div>}}
;CIFactor[ <Expression>, <Variable> ]
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;CIFactor( <Expression>, <Variable> )
 
:Factors over the complex irrationals with respect to a given variable.  
 
:Factors over the complex irrationals with respect to a given variable.  
:{{Example|1=<div><code>CIFactor[a^2 + a + 1, a]</code> returns <math> \left( a + \frac{-ί \; \sqrt{3} + 1}{2} \right) \;  \left( a + \frac{ί \; \sqrt{3} + 1}{2} \right)</math></div>}}
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:{{Example|1=<div><code>CIFactor[a^2 + a + 1, a]</code> returns <math> \left( a + \frac{-ί   \sqrt{3} + 1}{2} \right)   \left( a + \frac{ί   \sqrt{3} + 1}{2} \right)</math></div>}}
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{{Note|1=See also [[IFactor Command|IFactor]] command.}}

Latest revision as of 17:17, 7 October 2017



CAS Syntax

CIFactor( <Expression> )
Factors over the complex irrationals.
Example:
CIFactor[x^2 + x + 1] returns \left( x + \frac{-ί \sqrt{3} + 1}{2} \right) \left( x + \frac{ί \sqrt{3} + 1}{2} \right)
CIFactor( <Expression>, <Variable> )
Factors over the complex irrationals with respect to a given variable.
Example:
CIFactor[a^2 + a + 1, a] returns \left( a + \frac{-ί \sqrt{3} + 1}{2} \right) \left( a + \frac{ί \sqrt{3} + 1}{2} \right)
Note: See also IFactor command.
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