How to apply synthetic division to divide polynomials

The video tutorial explains how to divide polynomials using synthetic division. It begins with an introduction to the method and sets up a sample problem. The instructor emphasizes the importance of using a linear binomial as the divisor and explains how to identify the zero of the divisor. The tutorial then walks through the steps of synthetic division, including setting up the coefficients and applying the algorithm. Finally, it interprets the results, explaining how to identify the quotient and remainder.

Explain why we can only divide by a linear binomial in synthetic division.

What does it mean if a polynomial divides evenly into another polynomial?

What is the first step in applying synthetic division?

Describe the process of determining the coefficients for synthetic division.

How do you interpret the results of synthetic division in terms of quotient and remainder?