How to use long division to divide two polynomials

The video tutorial explains the use of synthetic division for linear divisors and the necessity of long division for nonlinear divisors. It covers the process of polynomial division, emphasizing the importance of standard form and place value. The tutorial walks through the division steps, including subtraction and handling remainders, and concludes with a summary of the division process.

When should synthetic division be used?

What is the standard form of a polynomial?

How do you handle terms that are not like terms during polynomial division?

Describe the importance of place value in polynomial division.

What is the process to find the quotient when dividing polynomials?

Explain how to write the final answer when there is a remainder in polynomial division.

What should you do if the result of your division does not cancel out to zero?