Examples

Find the Equation Given the Roots
, ,
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
The root at was found by solving for when and .
The factor is
Step 5
Combine all the factors into a single equation.
Step 6
Multiply all the factors to simplify the equation .
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Step 6.1
Simplify by multiplying through.
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Step 6.1.1
Apply the distributive property.
Step 6.1.2
Simplify the expression.
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Step 6.1.2.1
Multiply by .
Step 6.1.2.2
Multiply by .
Step 6.2
Expand using the FOIL Method.
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Step 6.2.1
Apply the distributive property.
Step 6.2.2
Apply the distributive property.
Step 6.2.3
Apply the distributive property.
Step 6.3
Simplify and combine like terms.
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Step 6.3.1
Simplify each term.
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Step 6.3.1.1
Multiply by by adding the exponents.
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Step 6.3.1.1.1
Multiply by .
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Step 6.3.1.1.1.1
Raise to the power of .
Step 6.3.1.1.1.2
Use the power rule to combine exponents.
Step 6.3.1.1.2
Add and .
Step 6.3.1.2
Move to the left of .
Step 6.3.1.3
Rewrite as .
Step 6.3.1.4
Multiply by .
Step 6.3.1.5
Move to the left of .
Step 6.3.1.6
Rewrite as .
Step 6.3.2
Add and .
Step 6.3.3
Add and .
Step 7
Enter YOUR Problem
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