BUILT-IN MATHEMATICA SYMBOL

PolynomialMod

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

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

Details and Options Details 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.