# Precalculus Examples

,

Step 1

Roots are the points where the graph intercepts with the x-axis .

at the roots

Step 2

The root at was found by solving for when and .

The factor is

Step 3

The root at was found by solving for when and .

The factor is

Step 4

Combine all the factors into a single equation.

Step 5

Step 5.1

Expand using the FOIL Method.

Step 5.1.1

Apply the distributive property.

Step 5.1.2

Apply the distributive property.

Step 5.1.3

Apply the distributive property.

Step 5.2

Simplify and combine like terms.

Step 5.2.1

Simplify each term.

Step 5.2.1.1

Multiply by .

Step 5.2.1.2

Move to the left of .

Step 5.2.1.3

Multiply by .

Step 5.2.2

Subtract from .

Step 6