Precalculus 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.
Remove parentheses.
Simplify and combine like terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Combine and
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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 .
Multiply by .
Add and .
Add and .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Simplify each term.
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Multiply by by adding the exponents.
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Combine and
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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 .
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