# Precalculus Examples

, ,

Roots (also called zeros) are the points where the graph intercepts with the x-axis .

at the roots

The root at was found by solving for when and ( because the root is the x-intercept).

The factor is

The root at was found by solving for when and ( because the root is the x-intercept).

The factor is

The root at was found by solving for when and ( because the root is the x-intercept).

The factor is

Combine all the factors into a single equation.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Remove parentheses.

Simplify and combine like terms.

Simplify each term.

Use the power rule to combine exponents.

Add and to get .

Move to the left of the expression .

Multiply by to get .

Rewrite as .

Multiply by to get .

Subtract from to get .

Expand by multiplying each term in the first expression by each term in the second expression.

Simplify terms.

Remove unnecessary parentheses.

Simplify each term.

Use the power rule to combine exponents.

Add and to get .

Move to the left of the expression .

Multiply by to get .

Move .

Use the power rule to combine exponents.

Add and to get .

Multiply by to get .

Multiply by to get .

Simplify by adding terms.

Subtract from to get .

Add and to get .