Factor

Factor[poly]

factors a polynomial over the integers.

Factor[poly,Modulusp]

factors a polynomial modulo a prime p.

Factor[poly,Extension{a1,a2,}]

factors a polynomial allowing coefficients that are rational combinations of the algebraic numbers ai.

Details and Options

  • Factor applies only to the top algebraic level in an expression. You may have to use Map, or apply Factor again, to reach other levels.
  • Factor[poly,GaussianIntegers->True] factors allowing Gaussian integer coefficients.
  • If any coefficients in poly are complex numbers, factoring is done allowing Gaussian integer coefficients.
  • The exponents of variables need not be positive integers. Factor can deal with exponents that are linear combinations of symbolic expressions.
  • When given a rational expression, Factor effectively first calls Together, then factors numerator and denominator.
  • With the default setting Extension->None, Factor[poly] will treat algebraic number coefficients in poly like independent variables.
  • Factor[poly,Extension->Automatic] will extend the domain of coefficients to include any algebraic numbers that appear in poly. »
  • Factor automatically threads over lists, as well as equations, inequalities and logic functions.

Examples

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Basic Examples  (2)

Factor polynomials:

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Factor modulo 2:

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Scope  (3)

Generalizations & Extensions  (1)

Options  (5)

Properties & Relations  (3)

Neat Examples  (2)

See Also

IrreduciblePolynomialQ  FactorList  FactorTerms  FactorSquareFree  SquareFreeQ  Solve  Expand  Simplify  FactorInteger  TrigFactor  FullSimplify

Tutorials

Introduced in 1988
(1.0)
| Updated in 2007
(6.0)