ALG2 3.3 - Perfect Square Trinomials

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial. It has the form (a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².

Front

Factor: x² + 24x + 144

Back

(x + 12)²

Front

Factor: n² + 10n + 25

Back

(n + 5)²

Front

Factor: x² - 30x + 225

Back

(x - 15)²

Front

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

Back

Yes

Front

Which of the following is NOT a perfect square trinomial? x² - 10x + 20, x² - 16x + 64, x² - 24x + 144, x² - 28x + 196

Back

x² - 10x + 20

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² ± 2ab + b².

Front

How do you identify a perfect square trinomial?

Back

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

Front

Factor: 4x² + 16x + 16

Back

(2x + 4)²

Front

Factor: 9y² - 30y + 25

Back

(3y - 5)²