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.

long division | polynomial | polynomial remainder | polynomial remainder theorem | quotient