# Precalculus Examples

and are the two real distinct solutions for the quadratic equation, which means that and are the factors of the quadratic equation.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Multiply by .
Subtract from .
The standard quadratic equation using the given set of solutions is .