# Algebra Examples

Step 1

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

Step 2

Step 2.1

Apply the distributive property.

Step 2.2

Apply the distributive property.

Step 2.3

Apply the distributive property.

Step 3

Step 3.1

Simplify each term.

Step 3.1.1

Multiply by .

Step 3.1.2

Move to the left of .

Step 3.1.3

Rewrite as .

Step 3.1.4

Multiply by .

Step 3.2

Subtract from .

Step 4

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

Step 5