Factor Perfect Squares

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a polynomial that can be expressed as the square of a binomial. It has the form (a + b)² = a² + 2ab + b².

Front

Identify the perfect square trinomial: x² + 14x - 49, x² + 20x + 100, x² - 8x + 4, x² - 5x + 6.

Back

x² + 20x + 100 is a perfect square trinomial.

Front

Is x² + 6x + 9 a perfect square trinomial?

Back

Yes, it can be factored as (x + 3)².

Front

Is x² + 18x + 9 a perfect square trinomial?

Back

No, it cannot be factored into a perfect square.

Front

Factor the polynomial: x² + 24x + 144.

Back

(x + 12)².

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² + 2ab + b².

Front

How do you determine if a trinomial is a perfect square?

Back

Check if the first and last terms are perfect squares and if the middle term is twice the product of the square roots of the first and last terms.

Front

Factor: x² - 16x + 16.

Back

(x - 8)².

Front

What is the square of (x + 4)?

Back

(x + 4)² = x² + 8x + 16.

Front

What is the square of (x - 5)?

Back

(x - 5)² = x² - 10x + 25.