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Mathematica® Teacher's Edition (2002)

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PolynomialMod

FilledSmallSquare PolynomialMod[poly, m] gives the polynomial poly reduced modulo m.
FilledSmallSquare PolynomialMod[poly, , , ... ] reduces modulo all of the .

FilledSmallSquare PolynomialMod[poly, m] for integer m gives a polynomial in which all coefficients are reduced modulo m.
FilledSmallSquare Example: PolynomialMod[3x^2 + 2x + 1, 2]LongRightArrow.
FilledSmallSquare 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.
FilledSmallSquare PolynomialMod gives results according to a definite convention; other conventions could yield results differing by multiples of m.
FilledSmallSquare Unlike PolynomialRemainder, PolynomialMod never performs divisions in generating its results.
FilledSmallSquare See The Mathematica Book on the web: Section 3.3.4.
FilledSmallSquare See also: PolynomialGCD, Mod, PolynomialRemainder.