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 .
Tap for more steps...
Step 6.1
Expand using the FOIL Method.
Tap for more steps...
Step 6.1.1
Apply the distributive property.
Step 6.1.2
Apply the distributive property.
Step 6.1.3
Apply the distributive property.
Step 6.2
Simplify and combine like terms.
Tap for more steps...
Step 6.2.1
Simplify each term.
Tap for more steps...
Step 6.2.1.1
Multiply by .
Step 6.2.1.2
Move to the left of .
Step 6.2.1.3
Rewrite as .
Step 6.2.1.4
Multiply by .
Step 6.2.2
Subtract from .
Step 6.3
Expand by multiplying each term in the first expression by each term in the second expression.
Step 6.4
Simplify terms.
Tap for more steps...
Step 6.4.1
Simplify each term.
Tap for more steps...
Step 6.4.1.1
Multiply by by adding the exponents.
Tap for more steps...
Step 6.4.1.1.1
Multiply by .
Tap for more steps...
Step 6.4.1.1.1.1
Raise to the power of .
Step 6.4.1.1.1.2
Use the power rule to combine exponents.
Step 6.4.1.1.2
Add and .
Step 6.4.1.2
Move to the left of .
Step 6.4.1.3
Multiply by by adding the exponents.
Tap for more steps...
Step 6.4.1.3.1
Move .
Step 6.4.1.3.2
Multiply by .
Step 6.4.1.4
Multiply by .
Step 6.4.1.5
Multiply by .
Step 6.4.2
Simplify by adding terms.
Tap for more steps...
Step 6.4.2.1
Subtract from .
Step 6.4.2.2
Add and .
Step 7
Enter YOUR Problem
Mathway requires javascript and a modern browser.