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Polynomial Quotient

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The quotient of two polynomials p(x) and q(x), discarding any polynomial remainder. Polynomial quotients are implemented in the Wolfram Language as PolynomialQuotient[p, q, x], and are related to the polynomial remainder R(x) by

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

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

See also

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

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Cite this as:

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

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