Divide two polynomials by using division

The video tutorial explains the process of dividing polynomials using long division. It begins with an introduction to the concept, highlighting the differences from numerical division. The instructor demonstrates the division step-by-step, starting with the first term and proceeding through subtraction and simplification. The process is repeated for subsequent terms until the division is complete, resulting in a remainder of zero. The tutorial emphasizes the importance of understanding polynomial factors and their role in finding zeros, concluding with a summary of the division's significance in polynomial and rational function analysis.

What is the first step in dividing polynomials as described in the text?

Explain how to check your work after dividing a polynomial term.

What happens to the signs when subtracting polynomials?

Describe the significance of a remainder of 0 in polynomial division.

How do the factors of a polynomial relate to finding its zeros?