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

Identify the general form of a perfect square trinomial.

Back

The general form is: x² ± 2ab + b², where a and b are real numbers.

Front

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

Back

No.

Front

Which of the following is a perfect square trinomial? x² - 4x - 4, x² - 6x - 9, x² + 6x - 9, x² - 4x + 4

Back

x² - 4x + 4.

Front

Factor the trinomial x² + 24x + 144.

Back

(x + 12)².

Front

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

Back

Yes.

Front

Factor the trinomial x² - 30x + 225.

Back

(x - 15)².

Front

What is the first step in factoring a perfect square trinomial?

Back

Identify if the trinomial can be expressed in the form a² ± 2ab + b².

Front

What are the signs of the terms in a perfect square trinomial?

Back

The signs can be either both positive or both negative.

Front

If a trinomial is in the form x² + 2bx + b², what can it be factored into?

Back

(x + b)².