# 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.

Multiply by by adding the exponents.

Combine and

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of the expression .

Multiply by .

Rewrite as .

Multiply by .

Subtract from .

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