Examples

Find the Equation with Real Coefficients
, ,
Step 1
Since the roots of an equation are the points where the solution is , set each root as a factor of the equation that equals .
Step 2
Simplify.
Tap for more steps...
Step 2.1
Expand using the FOIL Method.
Tap for more steps...
Step 2.1.1
Apply the distributive property.
Step 2.1.2
Apply the distributive property.
Step 2.1.3
Apply the distributive property.
Step 2.2
Simplify terms.
Tap for more steps...
Step 2.2.1
Combine the opposite terms in .
Tap for more steps...
Step 2.2.1.1
Reorder the factors in the terms and .
Step 2.2.1.2
Subtract from .
Step 2.2.1.3
Add and .
Step 2.2.2
Simplify each term.
Tap for more steps...
Step 2.2.2.1
Multiply by .
Step 2.2.2.2
Multiply by .
Step 2.3
Expand using the FOIL Method.
Tap for more steps...
Step 2.3.1
Apply the distributive property.
Step 2.3.2
Apply the distributive property.
Step 2.3.3
Apply the distributive property.
Step 2.4
Simplify each term.
Tap for more steps...
Step 2.4.1
Multiply by by adding the exponents.
Tap for more steps...
Step 2.4.1.1
Multiply by .
Tap for more steps...
Step 2.4.1.1.1
Raise to the power of .
Step 2.4.1.1.2
Use the power rule to combine exponents.
Step 2.4.1.2
Add and .
Step 2.4.2
Move to the left of .
Step 2.4.3
Rewrite as .
Step 2.4.4
Multiply by .
Enter YOUR Problem
Mathway requires javascript and a modern browser.