Difference between revisions of "Factors Command"
From GeoGebra Manual
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==CAS Syntax== | ==CAS Syntax== | ||
;Factors[ <Polynomial> ] | ;Factors[ <Polynomial> ] | ||
| − | :Returns list of lists ''{factor,exponent}'' such that product of all these factors raised to corresponding exponents equals the given polynomial. | + | :Returns list of lists ''{factor, exponent}'' such that product of all these factors raised to corresponding exponents equals the given polynomial. |
| − | :{{example| 1=<div><code><nowiki>Factors[x^8 - 1]</nowiki></code> yields ''{{x - 1, 1}, {x + 1, 1}, {x^2 + 1, 1}, {x^4 + 1, 1}}''.</div>}} | + | :{{example| 1=<div><code><nowiki>Factors[x^8 - 1]</nowiki></code> yields ''{{x - 1, 1}, {x + 1, 1}, {x^2 + 1, 1}, {x^4 + 1, 1}}'', displayed as <math>\begin{pmatrix}x-1&1|x+1&1|x²+1&1|x^4+1&1\end{pmatrix}</math>.</div>}} |
:{{note|Not all of the factors are irreducible over the reals.}} | :{{note|Not all of the factors are irreducible over the reals.}} | ||
;Factors[ <Number> ] | ;Factors[ <Number> ] | ||
Revision as of 12:12, 23 August 2011
- Factors[ <Polynomial> ]
- Returns list of lists {factor,exponent} such that product of all these factors raised to corresponding exponents equals the given polynomial.
- Example:
Factors[x^8 - 1]yields {{x - 1, 1}, {x + 1, 1}, {x^2 + 1, 1}, {x^4 + 1, 1}}.
- Note: Not all of the factors are irreducible over the reals.
- Factors[ <Number> ]
- Returns list of lists {prime, exponent} such that product of all these primes raised to corresponding exponents equals the given number. Primes are sorted in ascending order.
- Example:
Factors[1024]returns {{2,10}}, because 1024 = 210.Factors[42]returns {{2, 1}, {3, 1}, {7, 1}}, because 42 = 21 31 71.
Note: See also PrimeFactors Command and Factor Command.
CAS Syntax
- Factors[ <Polynomial> ]
- Returns list of lists {factor, exponent} such that product of all these factors raised to corresponding exponents equals the given polynomial.
- Example:
Factors[x^8 - 1]yields {{x - 1, 1}, {x + 1, 1}, {x^2 + 1, 1}, {x^4 + 1, 1}}, displayed as \begin{pmatrix}x-1&1|x+1&1|x²+1&1|x^4+1&1\end{pmatrix}.
- Note: Not all of the factors are irreducible over the reals.
- Factors[ <Number> ]
- Returns list of lists {prime, exponent} such that product of all these primes raised to corresponding exponents equals the given number. Primes are sorted in ascending order.
- Example:
Factors[1024]returns {{2,10}}, because 1024 = 210.Factors[42]returns {{2, 1}, {3, 1}, {7, 1}}, because 42 = 21 31 71.
Note: See also PrimeFactors Command and Factor Command.
