Difference between revisions of "CFactor Command"
From GeoGebra Manual
m |
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
||
| Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geogebra}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geogebra}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;CFactor | + | ;CFactor( <Expression> ) |
: Factorizes a given expression, allowing for complex factors. | : Factorizes a given expression, allowing for complex factors. | ||
:{{example|1=<div><code><nowiki>CFactor[x^2 + 4]</nowiki></code> yields ''(x + 2 ί) (x - 2 ί)'', the factorization of ''x<sup>2</sup> + 4''.</div>}} | :{{example|1=<div><code><nowiki>CFactor[x^2 + 4]</nowiki></code> yields ''(x + 2 ί) (x - 2 ί)'', the factorization of ''x<sup>2</sup> + 4''.</div>}} | ||
<br> | <br> | ||
| − | ;CFactor | + | ;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 ''(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''.}} | :{{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 17:15, 7 October 2017
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.
This command factors expressions over the Complex Rational Numbers. To factor over rational numbers, see the Factor Command.
