Easy Medium Hard Holes or Asymptotes

This video tutorial explains how to identify the difference between holes and vertical asymptotes in rational expressions. The instructor uses three examples of varying difficulty to demonstrate the process of simplifying expressions and identifying discontinuities. Key concepts include factoring, the division property, and understanding removable and non-removable discontinuities. The video also highlights common mistakes students make and provides tips for correctly identifying vertical asymptotes and holes.

What common mistakes do students make when identifying holes and asymptotes?

What is the importance of the division property in simplifying rational expressions?

How can you verify if a value is a hole in the rational expression?

In the example given, what values were found to create vertical asymptotes?