Is Long Division the Same as Synthetic Division

Polynomial long division is a method used to simplify polynomial rational functions by dividing a polynomial by another, same or lower degree, polynomial. … In this case, a shortcut method called synthetic division can be used to simplify the rational expression.

What is another name for synthetic division?

Although confusing, the special case in which the divisor is a monic polynomial of arbitrary degree (no more than the degree of the dividend) is sometimes referred to as expanded synthetic division, while the case most often referred to by the unqualified term “synthetic division” consists of a monic linear divisor and …

Why do we need to learn long division and synthetic division?

It is easier and quicker to do division of polynomials (by a linear polynomial) by using synthetic division rather than by long division.