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

For example, the polynomial remainder of and is , corresponding to polynomial quotient .

 

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