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
Combine all the factors into a single equation.
Step 5
Multiply all the factors to simplify the equation .
Tap for more steps...
Step 5.1
Expand using the FOIL Method.
Tap for more steps...
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 terms.
Tap for more steps...
Step 5.2.1
Combine the opposite terms in .
Tap for more steps...
Step 5.2.1.1
Reorder the factors in the terms and .
Step 5.2.1.2
Add and .
Step 5.2.1.3
Add and .
Step 5.2.2
Simplify each term.
Tap for more steps...
Step 5.2.2.1
Multiply by .
Step 5.2.2.2
Multiply by .
Step 6
Enter YOUR Problem
Mathway requires javascript and a modern browser.