Synthetic division

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial long division. It is mostly taught for division by binomials of the form In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial long division. It is mostly taught for division by binomials of the form but the method generalizes to division by any monic polynomial, and to any polynomial.