# Precalculus Examples

and are the two real distinct solutions for the quadratic equation, which means that and are the factors of the quadratic equation.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Remove parentheses.

Simplify each term.

Use the power rule to combine exponents.

Add and to get .

Move to the left of the expression .

Multiply by to get .

Rewrite as .

Multiply by to get .

Subtract from to get .

The standard quadratic equation using the given set of solutions is .