How to Find Slant and Vertical Asymptotes

The video tutorial covers the process of finding different types of asymptotes in mathematical functions. It begins with an introduction to the objectives, focusing on vertical, horizontal, and slant asymptotes. The instructor explains how to find vertical asymptotes by setting the denominator to zero and using factoring techniques. The horizontal asymptote test is discussed, highlighting the importance of comparing the degrees of the numerator and denominator. The tutorial then moves on to finding slant asymptotes using long division, emphasizing the role of the remainder. The session concludes with a brief interruption for a school announcement.

Explain the long division method used to find slant asymptotes.

What happens to the remainder when finding slant asymptotes?

What is the final expression for the slant asymptote derived from the quotient?