What is Synthetic Division?
Synthetic division is a shortcut method for dividing a polynomial by a term (x – c), where c is a specific number. It’s an easier and faster way to divide polynomials, especially when dividing by linear factors, instead of using the usual long division method.
Synthetic Division of Polynomials Definition
Synthetic Division is an algebraic concept in Mathematics used to divide polynomials especially when the divisor is in the form of (x – c).
It is generally used to find the zeros of a polynomial. It is considered better as it is a faster, simpler and more effective way of solving some division problems when compared to the traditional methods for the same.
Synthetic Division
Synthetic division is a simplified method used to divide polynomials, particularly when dividing by linear factors. It involves a step-by-step process where coefficients of the polynomial are manipulated without explicitly writing down variables. This article provides an in-depth explanation of synthetic division further it covers the method’s definition, comparison with long division, step-by-step procedures, examples, advantages, disadvantages, and practice questions.
Table of Content
- What is Synthetic Division?
- Synthetic Division Method
- Synthetic Division vs Long Division
- Advantages and Disadvantages of Synthetic Division Method:
- Synthetic Division: FAQs