# Algebra 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.

Multiply by by adding the exponents.

Combine and

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of the expression .

Multiply by .

Rewrite as .

Multiply by .

Subtract from .

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

Simplify terms.

Remove unnecessary parentheses.

Simplify each term.

Multiply by by adding the exponents.

Combine and

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of the expression .

Multiply by .

Multiply by by adding the exponents.

Move .

Combine and

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Simplify by adding terms.

Subtract from .

Add and .