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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

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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.

Tags

CCSS.HSA.APR.C.4

Front

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

Back

No

Tags

CCSS.HSA.APR.C.4

Front

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

Back

Yes

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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