How and when to apply synthetic division of two polynomials

The video tutorial explains the concepts of divisor and dividend in polynomials, highlighting the difference between long division and synthetic division. It details the process of synthetic division, emphasizing the use of zeros instead of factors. The tutorial includes a step-by-step example of synthetic division, demonstrating how to find the quotient and remainder of a polynomial division.

What is the difference between a divisor and a dividend in polynomial division?

Explain the process of finding a zero from a factor.

Why can't synthetic division be used when the divisor is raised to a higher power?

Describe the steps involved in synthetic division.

What is the significance of including zero coefficients in synthetic division?

What do the coefficients represent in the quotient of polynomial division?

How do you write the final answer after performing synthetic division?