Factoring Trinomials Special Cases

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial, in 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: x² - 30x + 225

Back

(x - 15)²

Front

Factor: 25x² - 100y²

Back

(5x - 10y)(5x + 10y) (Difference of squares)

Front

Factor: x² - 16

Back

(x - 4)(x + 4) (Difference of squares)

Front

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

Back

x² - 10x + 20

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² ± 2ab + b².

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

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: x² + 10x + 25

Back

(x + 5)²