This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
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Polynomial Algebra
Polynomial algorithms are at the core of classical "computer algebra". Incorporating methods that span from antiquity to the latest cutting-edge research at Wolfram Research, Mathematica has the world's broadest and deepest integrated web of polynomial algorithms. Carefully tuned strategies automatically select optimal algorithms, allowing large-scale polynomial algebra to become a routine part of many types of computations.
Polynomial Elements
Basic Structural Operations
Factor  ▪ FactorList  ▪ Decompose  ▪ SymmetricReduction  ▪ ...
Solve find generic solutions for variables
Eliminate eliminate variables between equations
Resolve eliminate general quantifiers
Reduce reduce systems of equations and inequalities to canonical form
Finite Fields
Modulus specify a modulus
PolynomialMod reduce coefficients in a polynomial
GaussianIntegers do operations over Gaussian integers
Extension specify a general algebraic extension field
Root general representation of a polynomial root
MinimalPolynomial minimal polynomial for a general algebraic number
RootSum  ▪ RootReduce  ▪ ToRadicals  ▪ Cyclotomic  ▪ SymmetricPolynomial  ▪ ...