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 primary goal when simplifying rational expressions?

• To change the variables used

• To make the expression more complex

• To factor out common terms and simplify the degree

• To add more terms to the expression

Which method is used to factor a trinomial in the video?

• Using synthetic division

• Using a graphing calculator

• Using a visual aid of an X

• Using a quadratic formula

What are the two factors of the trinomial X^2 + 4X + 3?

• (X + 3)(X + 2)

• (X + 2)(X + 1)

• (X + 3)(X + 1)

• (X + 4)(X + 1)

What common factor is identified in the denominator?

• 3X

• 6X

• 2X

• X + 6

Which values of X must be excluded to avoid division by zero?

• X = 6 and X = -6

• X = 0 and X = 1

• X = 0 and X = 6

• X = 0 and X = -6