# Precalculus Examples

Step 1

Step 1.1

Factor out of .

Step 1.2

Factor out of .

Step 1.3

Factor out of .

Step 2

Step 2.1

Factor out of .

Step 2.2

Factor out of .

Step 2.3

Factor out of .

Step 3

Step 3.1

Cancel the common factor.

Step 3.2

Rewrite the expression.

Step 4

To find the holes in the graph, look at the denominator factors that were cancelled.

Step 5

Step 5.1

Set equal to .

Step 5.2

Add to both sides of the equation.

Step 5.3

Substitute for in and simplify.

Step 5.3.1

Substitute for to find the coordinate of the hole.

Step 5.3.2

Divide by .

Step 5.4

The holes in the graph are the points where any of the cancelled factors are equal to .

Step 6