# Factor

Usage

Factor[poly] factors a polynomial over the integers.
Factor[poly, Modulus->p] factors a polynomial modulo a prime p.
Factor[poly, Extension->{, , ... }] factors a polynomial allowing coefficients that are rational combinations of the algebraic numbers .

Notes

Factor applies only to the top 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.
• Implementation notes: see Section A.9.5.
• New in Version 1; modified in 3.

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