Difference between revisions of "CFactor Command"

Revision as of 15:41, 1 January 2013

This command works in CAS View only.

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 (a + x ί) (a - x ί), the factorization of a² + x² with respect to a.

CFactor[a^2 + x^2, x] yields (x + a ί) (x - a ί), 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 6: / Line 6: @@
 ;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, a]</nowiki></code> yields ''(a + x ί) (a - x ί)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''a''.</div>}}
+:{{examples|1=<br><code><nowiki>CFactor[a^2 + x^2, a]</nowiki></code> yields ''(a + x ί) (a - x ί)'', 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 + a ί) (x - a ί)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''x''.}}
-:{{example|1=<div><code><nowiki>CFactor[a^2 + x^2, x]</nowiki></code> yields ''(x + a ί) (x - a ί)'', the factorization of ''a<sup>2</sup> + x<sup>2</sup>'' with respect to ''x''.</div>}}
+:{{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=<div>
-This command factors expressions over the [[w:Gaussian_rational|Complex Rational Numbers]]. To factor over rational numbers, see the [[Factor Command]].
-</div>}}