Factors Command
From GeoGebra Manual
Revision as of 16:58, 9 October 2015 by Markus.winkler (talk | contribs) (changed CAS syntax description)
- Factors[ <Polynomial> ]
- Gives a list of lists of the type {factor, exponent} such that the product of all these factors raised to the power of the corresponding exponents equals the given polynomial. The factors are sorted by degree in ascending order.
- 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> ]
- Gives a list of lists of the type {prime, exponent} such that the product of all these primes raised to the power of the corresponding exponents equals the given number. The primes are sorted in ascending order.
- Example:
Factors[1024]
yields {{2, 10}}, since 1024 = 2^{10}.Factors[42]
yields {{2, 1}, {3, 1}, {7, 1}}, since 42 = 2^1・3^1・7^1.
Note: See also PrimeFactors Command and Factor Command.
Note: In the CAS View undefined variables can be used as input and the results are returned as proper matrices.
- Example:
Factors[a^8 - 1]
yields \left( \begin{array}{} a - 1 & 1 \\ a +1 & 1 \\a^2 + 1& 1 \\a^4 + 1& 1 \\ \end{array} \right).