Perfect square trinomials Algebra 1

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

Identify the perfect square trinomial: x² + 16x + 64 or x² + 10x + 100?

Back

x² + 16x + 64 is a perfect square trinomial because it can be factored as (x + 8)².

Front

Factor the perfect square trinomial: x² + 24x + 144

Back

(x + 12)²

Front

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

Back

Yes, it is a perfect square trinomial and can be factored as (x + 7)².

Front

Is x² + 10x + 100 a perfect square trinomial?

Back

No, it is not a perfect square trinomial.

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² + 2ab + b², which factors to (a + b)².

Front

Factor the polynomial: x² - 16x + 64

Back

(x - 8)²

Front

Determine if the following is a perfect square trinomial: x² + 6x + 9

Back

Yes, it is a perfect square trinomial and factors to (x + 3)².

Front

What is the relationship between the coefficients in a perfect square trinomial?

Back

In a perfect square trinomial, the middle term is twice the product of the square roots of the first and last terms.

Front

Factor the polynomial: x² + 18x + 81

Back

(x + 9)²