Perfect Square Trinomials

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

Factor the trinomial: x² + 18x + 81

Back

(x + 9)²

Front

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

Back

No

Front

Factor the trinomial: x² - 20x + 100

Back

(x - 10)²

Front

Is x² + 16x + 64 a perfect square trinomial?

Back

Yes

Front

Factor the trinomial: x² + 24x + 144

Back

(x + 12)²

Front

What are the characteristics of a perfect square trinomial?

Back

It has three terms, 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

What is the formula for factoring a perfect square trinomial?

Back

(a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².

Front

Factor the trinomial: x² + 10x + 25

Back

(x + 5)²

Front

Is x² + 14x + 49 a perfect square trinomial?

Back

Yes