Dividing two polynomials using synthetic division

The video tutorial explains how to solve polynomial division problems using synthetic division. It emphasizes the importance of arranging polynomial terms in descending order and demonstrates the step-by-step process of synthetic division, including bringing down terms, adding vertically, and multiplying diagonally. The tutorial concludes with writing the final quotient and remainder.

How do you determine the remainder after performing synthetic division?

What is the final quotient obtained from the synthetic division in the example?