Learning how to apply synthetic division with multiple missing terms

The video tutorial explains synthetic division, emphasizing the importance of using zeros for missing polynomial powers. It guides through the process of applying synthetic division step-by-step, ensuring understanding of polynomial representation. The tutorial concludes with deriving the final quotient and remainder, reinforcing the method's application.

Explain the process of applying synthetic division step by step.

What is the final quotient obtained after performing synthetic division on the given polynomial?