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 long polynomial division.

The circumstances are:

It is mostly used for division by binomials of the form x — a, but the method generalized to division by any monic polynomial.

It is dividing for the linear factor.

It can be used to divide polynomial polynomials when the division is the binomial of the form x—c and cis a constant.

In algebra synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with long polynomial division.

The circumstances are:

It is mostly used for division by binomials of the form x — a, but the method generalized to division by any monic polynomial.

It is dividing for the linear factor.

It can be used to divide polynomial polynomials when the division is the binomial of the form x—c and cis a constant.