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Mathematica Teacher's Edition

Built-in Functions

Algebraic Computation

Polynomial Functions

PolynomialRemainder

PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.

The degree of the result in x is guaranteed to be smaller than the degree of q.
Unlike PolynomialMod, PolynomialRemainder performs divisions in generating its results.
See The Mathematica Book on the web: Section 3.3.4.
See also: PolynomialQuotient, Apart, Cancel, PolynomialMod, Mod.

Further Examples