# Precalculus Examples

A trinomial can be a perfect square if it satisfies the following:

The first term is a perfect square.

The third term is a perfect square.

The middle term is either or times the product of the square root of the first term and the square root of the third term.

Pull terms out from under the radical, assuming positive real numbers.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

The first term is a perfect square. The third term is a perfect square. The middle term is times the product of the square root of the first term and the square root of the third term .

The polynomial is a perfect square.