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.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Add and .

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

Find the Quadratic Equation (-8,31)