2.1 Trig FC Identifying Perfect Square Trinomials

Front

Perfect square trinomial: x² + 6x + 8?

Back

No

Answer explanation

The expression x^2 + 6x + 8 is not a perfect square trinomial because it cannot be expressed as (x + a)^2. The correct form would have a constant term that is the square of half the coefficient of x, which is 9, not 8.

Front

Trinomial: x² - 8x + 20

Back

Not a perfect square

Front

Perfect square trinomial: x² + 4x + 4

Back

Yes

Answer explanation

Yes, the expression x^2 + 4x + 4 is a perfect square trinomial because it can be factored as (x + 2)^2, indicating it is the square of a binomial.

Front

Trinomial: x² + 2x + 1

Back

Perfect Square: Yes

Front

Perfect square trinomial: x² - 12x + 36

Back

Yes

Answer explanation

Yes, the expression x^2 - 12x + 36 is a perfect square trinomial because it can be factored as (x - 6)^2, indicating that it is the square of a binomial.

Front

Perfect square trinomial: x² - 10x + 21?

Back

No

Front

Perfect square trinomial: x² + 6x + 9

Back

Yes

Answer explanation

The expression x^2 + 6x + 9 can be factored as (x + 3)^2, which confirms it is a perfect square trinomial. Therefore, the correct answer is Yes.

Front

Perfect square trinomial: x² - 6x + 9

Back

Yes

Answer explanation

The expression x^2 + 6x + 9 can be factored as (x + 3)^2, which confirms it is a perfect square trinomial. Therefore, the correct answer is Yes.

Front

Perfect square trinomial: x² - 14x + 49

Back

Yes

Answer explanation

The trinomial x^2 - 14x + 49 can be factored as (x - 7)^2, indicating it is a perfect square. Therefore, the correct answer is Yes.

Front

Perfect square trinomial

Back

x^2 + 16x + 64

Answer explanation

A perfect square trinomial is of the form (a + b)^2 = a^2 + 2ab + b^2. The expression x^2 + 6x + 9 can be factored as (x + 3)^2, making it a perfect square trinomial. The other options do not fit this form.