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Factor

Factor[poly]
factors a polynomial over the integers.
Factor[poly, Modulus->p]
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 .
  • 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.
  • 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 automatically threads over lists, as well as equations, inequalities and logic functions.
Factor polynomials:
Factor modulo 2:
Factor polynomials:
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Factor modulo 2:
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A univariate polynomial:
A multivariate polynomial:
A rational function:
Some non-polynomial expressions can be factored:
Factor over algebraic number fields:
Extension->Automatic automatically extends to a field that covers the coefficients:
Factor over Gaussian integers:
Factor over finite fields:
Factor a trigonometric expression:
Expand is effectively the inverse of Factor:
FactorList gives a list of factors:
FactorSquareFree only pulls out multiple factors:
The first factoring of where a appears as a coefficient:
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