Difference between revisions of "CFactor Command"

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;CFactor[ <Expression>, <Variable> ]
 
;CFactor[ <Expression>, <Variable> ]
 
:Factorizes an expression with respect to a given variable, allowing for complex factors.
 
:Factorizes an expression with respect to a given variable, allowing for complex factors.
:{{examples|1=<br><code><nowiki>CFactor[a^2 + x^2, a]</nowiki></code> yields ''(a + x ί) (a - x ί)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''a''.<br><br><code><nowiki>CFactor[a^2 + x^2, x]</nowiki></code> yields ''(x + a ί) (x - a ί)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''x''.}}
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:{{examples|1=<br><code><nowiki>CFactor[a^2 + x^2, a]</nowiki></code> yields ''(ί x + a) (- ί x + a)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''a''.<br><br><code><nowiki>CFactor[a^2 + x^2, x]</nowiki></code> yields ''(x + ί a) (x - ί a)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''x''.}}
:{{note|1=<br>This command factors expressions over the [[w:Gaussian_rational|Complex Rational Numbers]]. To factor over rational numbers, see the [[Factor Command]].}}
+
{{note|1=<br>This command factors expressions over the [[w:Gaussian_rational|Complex Rational Numbers]]. To factor over rational numbers, see the [[Factor Command]].}}

Revision as of 15:44, 26 March 2013



CAS Syntax

CFactor[ <Expression> ]
Factorizes a given expression, allowing for complex factors.
Example:
CFactor[x^2 + 4] yields (x + 2 ί) (x - 2 ί), the factorization of x2 + 4.
CFactor[ <Expression>, <Variable> ]
Factorizes an expression with respect to a given variable, allowing for complex factors.
Examples:
CFactor[a^2 + x^2, a] yields (ί x + a) (- ί x + a), the factorization of a2 + x2 with respect to a.

CFactor[a^2 + x^2, x] yields (x + ί a) (x - ί a), the factorization of a2 + x2 with respect to x.
Note:
This command factors expressions over the Complex Rational Numbers. To factor over rational numbers, see the Factor Command.
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