PolynomialReduce[poly, {poly1, poly2, ...}, {x1, x2, ...}]
yields a list representing a reduction of poly in terms of the . The list has the form , where b is minimal and is exactly poly.

Details and OptionsDetails and Options

  • The polynomial b has the property that none of its terms are divisible by leading terms of any of the .
  • If the form a Gröbner basis then this property uniquely determines the remainder obtained from PolynomialReduce.
  • The following options can be given, as for GroebnerBasis:
  • MonomialOrderLexicographicthe criterion used for ordering monomials
    CoefficientDomainRationalsthe type of objects assumed to be coefficients
    Modulus0the modulus for numerical coefficients
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