Precalculus Examples

,
Step 1
Roots are the points where the graph intercepts with the x-axis .
at the roots
Step 2
The root at was found by solving for when and .
The factor is
Step 3
The root at was found by solving for when and .
The factor is
Step 4
Combine all the factors into a single equation.
Step 5
Multiply all the factors to simplify the equation .
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Step 5.1
Expand using the FOIL Method.
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Step 5.1.1
Apply the distributive property.
Step 5.1.2
Apply the distributive property.
Step 5.1.3
Apply the distributive property.
Step 5.2
Simplify and combine like terms.
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Step 5.2.1
Simplify each term.
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Step 5.2.1.1
Multiply by .
Step 5.2.1.2
Move to the left of .
Step 5.2.1.3
Multiply by .
Step 5.2.2
Subtract from .
Step 6
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