Difference between revisions of "Factor Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} |
− | {{command|algebra}} | ||
{{Alternate Language|region=US|page_type=Command|US_version=Factor|UK_version=Factorise|Aus_version=Factorise}} | {{Alternate Language|region=US|page_type=Command|US_version=Factor|UK_version=Factorise|Aus_version=Factorise}} | ||
+ | ;Factor( <Polynomial> ) | ||
+ | :Factors the polynomial. | ||
+ | :{{example| 1=<div><code><nowiki>Factor(x^2 + x - 6)</nowiki></code> yields ''(x - 2) (x + 3)''.</div>}} | ||
+ | {{note| 1=This command needs to load the Computer Algebra System, so can be slow on some computers.}} | ||
+ | <br> | ||
− | ; Factor | + | == CAS Syntax == |
− | : {{ | + | In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] you can also use the following syntax: |
+ | ;Factor( <Number> ) | ||
+ | :Expresses a number in its prime factorization | ||
+ | :{{example| 1=<div><code><nowiki>Factor(360)</nowiki></code> yields ''2³ 3² 5''.</div>}} | ||
+ | ;Factor( <Expression>, <Variable> ) | ||
+ | :Factors an expression with respect to a given variable. | ||
+ | :{{example|1=<div> | ||
+ | :* <code><nowiki>Factor(x^2 - y^2, x)</nowiki></code> yields ''(x - y) (x + y)'', the factorization of ''x<sup>2</sup> - y<sup>2</sup>'' with respect to ''x'', | ||
+ | :* <code><nowiki>Factor(x^2 - y^2, y)</nowiki></code> yields ''-(y - x) (y + x)'', the factorization of ''x<sup>2</sup> - y<sup>2</sup>'' with respect to ''y''.</div>}} | ||
+ | |||
+ | {{note| 1=This command factors expressions over the [[w:Rational_number|Rational Numbers]]. To factor over irrational real numbers, see the [[IFactor Command]]. To factor over complex numbers, see the [[CFactor Command]] and [[CIFactor Command]].}} |
Latest revision as of 12:44, 16 February 2024
This command differs among variants of English:
|
- Factor( <Polynomial> )
- Factors the polynomial.
- Example:
Factor(x^2 + x - 6)
yields (x - 2) (x + 3).
Note: This command needs to load the Computer Algebra System, so can be slow on some computers.
CAS Syntax
In the CAS View you can also use the following syntax:
- Factor( <Number> )
- Expresses a number in its prime factorization
- Example:
Factor(360)
yields 2³ 3² 5.
- Factor( <Expression>, <Variable> )
- Factors an expression with respect to a given variable.
- Example:
Factor(x^2 - y^2, x)
yields (x - y) (x + y), the factorization of x2 - y2 with respect to x,Factor(x^2 - y^2, y)
yields -(y - x) (y + x), the factorization of x2 - y2 with respect to y.
Note: This command factors expressions over the Rational Numbers. To factor over irrational real numbers, see the IFactor Command. To factor over complex numbers, see the CFactor Command and CIFactor Command.