Difference between revisions of "CFactor Command"
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: 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> | ||
;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 ''(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 11:29, 27 August 2015
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.