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

Front

Fill in the blank: (x + ____)² = x² + 10x + 25

Back

5

Front

Fill in the blank: (x + ____)² = x² - 22x + 121

Back

-11

Front

Fill in the blank: (x - 9)² = x² + ____x + 81

Back

-18

Front

Fill in the blank: (x - 7)² = x² + ____x + 49

Back

-14

Front

Fill in the blank: (x - 2)² = x² - 4x + _____

Back

4

Front

What is the formula for expanding (a + b)²?

Back

(a + b)² = a² + 2ab + b².

Front

What is the formula for expanding (a - b)²?

Back

(a - b)² = a² - 2ab + b².

Front

How do you identify a perfect square trinomial?

Back

A trinomial is a perfect square if it can be expressed as (x ± a)², where the first term is a perfect square, the last term is a perfect square, and the middle term is twice the product of the square roots of the first and last terms.

Front

What is the middle term in the expansion of (x + 5)²?

Back

10x.