Difference between revisions of "CFactor Command"
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geogebra}} |
− | {{command| | + | ==CAS Syntax== |
− | ;CFactor | + | ;CFactor( <Expression> ) |
: Factorizes a given expression, allowing for complex factors. | : Factorizes a given expression, allowing for complex factors. | ||
− | :{{example|1= | + | :{{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''.}} |
− | ;CFactor | + | <br> |
+ | ;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=< | + | :{{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]].}} |
Latest revision as of 10:44, 12 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.