How to simplify a rational expression and write the excluded values

The video tutorial explains how to simplify trinomials by factoring them into products of their factors. It demonstrates the application of the division property once expressions are rewritten as products. The tutorial also covers the concept of excluded values and removable discontinuities, emphasizing the importance of identifying values that make the denominator zero.

What is the first step in simplifying a trinomial over a trinomial?

• Adding the terms

• Factoring the expressions

• Multiplying the terms

• Dividing the coefficients

Why is factoring helpful in simplifying expressions?

• It allows for addition of terms

• It eliminates the need for variables

• It changes the expression to a sum

• It separates the expression by multiplication

What condition makes a value an excluded value in a rational expression?

• When it is a positive integer

• When it makes the denominator zero

• When it is a negative integer

• When it makes the numerator zero

What is a removable discontinuity?

• A point where the graph is continuous

• A point that makes the numerator zero

• A point that can be removed without affecting the graph

• A point where the graph is undefined

What is the difference between a removable discontinuity and a vertical asymptote?

• A removable discontinuity is a hole, while a vertical asymptote is a line

• Both are points on the graph

• Both are lines on the graph

• A vertical asymptote is a hole, while a removable discontinuity is a line