Factoring Perfect Square Trinomials

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. It has the form (a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².

Front

Factor the trinomial: 25x² + 60x + 36

Back

(5x + 6)²

Front

Factor the trinomial: x² + 18x + 81

Back

(x + 9)²

Front

Identify the perfect square trinomial: 5x² – 4x + 4, 25x² + 6x + 8, 7x² – 6x + 9, 25x² – 20x + 4

Back

25x² – 20x + 4

Front

Factor the trinomial: 9x² + 6x + 1

Back

(3x + 1)²

Front

Factor the trinomial: 25x² - 70x + 49

Back

(5x - 7)²

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 the trinomial: 16x² + 24x + 9

Back

(4x + 3)²

Front

Factor the trinomial: 36x² - 12x + 1

Back

(6x - 1)²