# 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 , 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:

 In:= Out= In:= Out= In:= Out= Factor modulo 2:

 In:= Out= ## Neat Examples(2)

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