# How to do synthetic division Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor -- and it only works in this case. Synthetic division is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials. Synthetic Division Method. I must say that synthetic division is the most “fun” way of dividing polynomials. It has fewer steps to arrive at the answer as compared to polynomial long division method.In this lesson, I will go over five (5) examples that should hopefully make you familiar with the basic procedures in successfully dividing polynomials using synthetic division. In this tutorial we are going to look at synthetic division. You can use synthetic division whenever you need to divide a polynomial function by a binomial of the form x - c.We can use this to find several things. How to Divide Polynomials Using Synthetic Division. Synthetic division is a shorthand method of dividing polynomials where you divide the coefficients of the polynomials, removing the variables and exponents. It allows you to add. Synthetic Division is a way for us to divide a polynomial of any degree by another polynomial quickly and easily, and without all the mess. But to appreciate the beauty of Synthetic Division, we first have to remind ourselves of how we used to divide which is the process of Long Division. Synthetic Division - Example 2. Another video showing how to use synthetic division to divide a polynomial by a linear expression and also how to use the remainder to evaluate the polynomial. How to use Synthetic Division to divide polynomials. 0:14 When You Can Use Synthetic Division 0:37 Example 1 1:02 Discussion of Using Zero as a Placeholder for Missing Terms 2:43 How to Write the. Synthetic division is a shortcut for polynomial division when the divisor is of the form x – a. Only numeric coefficients of the dividend are used when di Let's do another synthetic division example. And in another video, we actually have the why this works relative to algebraic long division. But here it's going to be another just, let's go through the process of it just so that you get comfortable with it. And synthetic division is going to seem like a little bit of voodoo in the context of this video. In the next few videos we're going to think about why it actually makes sense, why you actually get the same result as traditional algebraic long division. My personal tastes are not to like synthetic division because it is very, very, very.