Difference between revisions of "CFactor Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
{{command|CAS}}
 
{{command|CAS}}
;CFactor[ <Expression> ]: Factorizes a given expression, allowing for complex factors.
+
;CFactor[ <Expression> ]
: {{Example|1=<div><code><nowiki>CFactor[x^2 + 4]</nowiki></code> gives ''(x + 2ί) (x - 2ί)'', the factorization of ''x<sup>2</sup> + 4''.</div> }}
+
: Factorizes a given expression, allowing for complex factors.
;CFactor[ <Expression>, <Variable> ]: Factorizes an expression based on a given variable, allowing for complex factors.
+
: {{Example|1=<div><code><nowiki>CFactor[x^2 + 4]</nowiki></code> gives ''(x + 2ί) (x - 2ί)'', the factorization of ''x<sup>2</sup> + 4''.</div>}}
 +
;CFactor[ <Expression>, <Variable> ]
 +
: Factorizes an expression with respect to a given variable, allowing for complex factors.
 +
: {{Example|1=<div><code><nowiki>CFactor[a^2 + x^2, x]</nowiki></code> gives ''(a + ί x) (a - ί x)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''x''.</div>}}
 +
: {{Example|1=<div><code><nowiki>CFactor[a^2 + x^2, a]</nowiki></code> gives ''(x + ί a) (x - ί a)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''a''.</div>}}

Revision as of 15:09, 3 August 2011


This command works in CAS View only.

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