Algebra Examples

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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.
Multiply all the factors to simplify the equation .
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Simplify and combine like terms.
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Simplify each term.
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Use the power rule to combine exponents.
Add and to get .
Move to the left of the expression .
Multiply by to get .
Simplify .
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Write as a fraction with denominator .
Multiply and to get .
Simplify .
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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 .
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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 .
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Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Simplify the numerator.
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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.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Simplify and combine like terms.
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Simplify each term.
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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.
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Cancel the common factor.
Divide by to get .
Simplify the expression.
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Move the negative in front of the fraction.
Multiply by to get .
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