Algebra Examples

Find the Equation with Real Coefficients
, ,
Since the roots of an equation are the points where the solution is , set each root as a factor of the equation that equals .
Simplify.
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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.
Simplify terms.
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Combine the opposite terms in .
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Reorder the factors in the terms and .
Subtract from .
Add and .
Simplify each term.
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Multiply by .
Multiply by .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
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Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Move to the left of .
Rewrite as .
Multiply by .
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