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Polynomial Remainder

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The remainder R(x) obtained when dividing a polynomial p(x) by another polynomial q(x). The polynomial remainder is implemented in the Wolfram Language as PolynomialRemainder[p, q, x], and is related to the polynomial quotient Q(x) by

p(x)=Q(x)q(x)+R(x).

For example, the polynomial remainder of p(x)=x^4+x^3+x^2+x+1 and q(x)=x^2-1 is R(x)=2x+3, corresponding to polynomial quotient Q(x)=x^2+x+2.

See also

Long Division, Polynomial, Polynomial Quotient, Polynomial Remainder Theorem, Remainder

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Cite this as:

Weisstein, Eric W. "Polynomial Remainder." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PolynomialRemainder.html

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