This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Polynomial Factoring & Decomposition Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of sophisticated algorithms, carefully tuned at Wolfram Research over the course of two decades. Factor — fully factor any polynomial FactorSquareFree — pull out only factors that occur as squares or higher powers FactorTerms — pull out only overall numerical factors FactorList, FactorSquareFreeList, FactorTermsList — give lists of factors      Modulus — specify a modulus for a finite field Extension — specify a general algebraic extension field GaussianIntegers — factor over Gaussian integers      Expand — expand out polynomials MonomialList — the list of monomials in a specified ordering      Decompose — decompose into a composition of polynomials HornerForm — rearrange a polynomial into Horner form SymmetricReduction — reduce a polynomial into a symmetric and nonsymmetric part InterpolatingPolynomial — construct a polynomial that goes through a list of points      Rational Functions TUTORIALS Structural Operations on Polynomials Algebraic Operations on Polynomials Polynomials over Algebraic Number Fields MORE ABOUT Formula Manipulation Polynomial Algebra RELATED LINKS Demonstrations related to Polynomial Factoring & Decomposition (The Wolfram Demonstrations Project)