# 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

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 .

Simplify .

Write as a fraction with denominator .

Multiply and to get .

Simplify .

Multiply by to get .

Write as a fraction with denominator .

Multiply and to get .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

Combine the numerators over the common denominator.

Simplify the numerator.

Move to the left of the expression .

Multiply by to get .

Multiply by to get .

Remove parentheses.

Subtract from to get .

Factor by grouping.

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.

Move .

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 .

Multiply by to get .

Subtract from to get .

Split the fraction into two fractions.

Split the fraction into two fractions.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Simplify the expression.

Move the negative in front of the fraction.

Multiply by to get .