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.

Tags

CCSS.HSA.APR.C.4

Front

How can you identify a perfect square trinomial?

Back

A trinomial is a perfect square if 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.

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CCSS.HSA.APR.C.4

Front

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

Back

No

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CCSS.HSA.APR.C.4

Front

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

Back

Yes

Front

Factor the trinomial x² - 30x + 225.

Back

(x - 15)²

Tags

CCSS.HSA.APR.C.4

Front

Factor the trinomial x² - 20x + 100.

Back

(x - 10)²

Tags

CCSS.HSA.APR.C.4

Front

Factor the trinomial x² - 4x + 4.

Back

(x - 2)²

Tags

CCSS.HSA.APR.C.4

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² ± 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

What are the steps to factor a perfect square trinomial?

Back

1. Identify a², b², and 2ab. 2. Check if the middle term equals 2ab. 3. Write the factored form as (a ± b)².

Tags

CCSS.HSA.APR.C.4

Front

What is the square of (x + 3)?

Back

(x + 3)² = x² + 6x + 9.

Tags

CCSS.HSA.APR.C.4