Difference between revisions of "CFactor Command"
From GeoGebra Manual
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;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= | + | :{{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, 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''.}} | + | :*<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]].}} | {{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.