Difference between revisions of "CFactor Command"

Latest revision as of 10:44, 12 October 2017

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.

@@ Line 1: / Line 1: @@
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geogebra}}
-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+==CAS Syntax==
-{{command|CAS}}
+;CFactor( <Expression> )
-;CFactor[ <Expression> ]: Factorizes a given expression, allowing for complex factors.
+: 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=<code><nowiki>CFactor(x^2 + 4)</nowiki></code> yields ''(x + 2 ί) (x - 2 ί)'', the factorization of ''x<sup>2</sup> + 4''.}}
+<br>
+;CFactor( <Expression>, <Variable> )
+:Factorizes an expression with respect to a given variable, allowing for complex factors.
+:{{examples|1=<div>
+:*<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''.
+:*<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''.</div>}}
+{{note|1=This command factors expressions over the [[w:Gaussian_rational|Complex Rational Numbers]]. To factor over rational numbers, see the [[Factor Command]].}}
-: {{Example|1=&nbsp;
-:* <code>CFactor[x^2 + 4]</code> gives you "(x + 2ί) (x - 2ί)". }}