Discontinuities and domain of rational functions

The video tutorial covers factoring expressions raised to the third power, focusing on quadratics. It explains how to factor out common terms, identify discontinuities, and find asymptotes. The tutorial also discusses simplifying expressions and determining the domain of functions, emphasizing the importance of understanding the difference of squares and number pairs.

What is the first step in factoring an expression raised to the third power?

How do you determine which number should be negative when factoring a quadratic expression?

What are the two discontinuities mentioned in the text?

Explain the significance of the asymptote in the context of the given expression.

What is the domain of the function discussed in the text?