Simplify a rational expression

The video tutorial explains how to simplify rational expressions by factoring both the numerator and the denominator. It emphasizes the importance of rewriting expressions in smaller degrees and identifying common factors. The tutorial also highlights the need to exclude values that make the denominator zero to avoid division errors.

What is the main goal when simplifying a rational expression?

Explain the process of rewriting a quadratic expression as a product of two linear factors.

How can you factor a trinomial using the visual aid of an X?

What common factor can be factored out from the denominator in the given expression?

What values of X must be excluded when simplifying the expression, and why?