Determine the domain of a rational function by factoring the denominator

The video tutorial explains how to rewrite a trinomial as a product and apply the zero product property to identify constraints. It demonstrates graphing discontinuities on a number line and concludes with a recap of the lesson.

What is the rewritten form of the expression X^2 + 19?

What are the constraints that make the denominator equal to zero?

Explain the significance of the zero product property in this context.

How would you represent the discontinuities on a number line?

What intervals are represented in the final answer regarding the graph?