PolynomialMod[poly, m]
gives the polynomial poly reduced modulo m.

PolynomialMod[poly, {m1, m2, ...}]
reduces modulo all of the .

Details and OptionsDetails and Options

  • PolynomialMod[poly, m] for integer m gives a polynomial in which all coefficients are reduced modulo m.
  • When m is a polynomial, PolynomialMod[poly, m] reduces poly by subtracting polynomial multiples of m, to give a result with minimal degree and leading coefficient.
  • PolynomialMod gives results according to a definite convention; other conventions could yield results differing by multiples of m.
  • Unlike PolynomialRemainder, PolynomialMod never performs divisions in generating its results.
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