Factoring Perfect Square Trinomials

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be written in the form (a + b)² or (a - b)², resulting in a² + 2ab + b² or a² - 2ab + b².

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CCSS.HSA.APR.C.4

Front

Identify the perfect square trinomial: 5x² – 4x + 4, 25x² + 6x + 8, 7x² – 6x + 9, 25x² – 20x + 4.

Back

25x² – 20x + 4 is a perfect square trinomial.

Front

Factor the trinomial: x² - 4x + 4.

Back

(x - 2)².

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CCSS.HSA.APR.C.4

Front

Factor the trinomial: 9x² + 6x + 1.

Back

(3x + 1)².

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CCSS.HSA.APR.C.4

Front

Factor the trinomial: x² + 2x + 1.

Back

(x + 1)².

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CCSS.HSA.APR.C.4

Front

Factor the trinomial: x² + 18x + 81.

Back

(x + 9)².

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CCSS.HSA.APR.C.4

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² ± 2ab + b².

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CCSS.HSA.APR.C.4

Front

How do you recognize a perfect square trinomial?

Back

Check if the first and last terms are perfect squares and if 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

What is the square of (x + 3)?

Back

(x + 3)² = x² + 6x + 9.

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CCSS.HSA.APR.C.4

Front

What is the square of (2x - 5)?

Back

(2x - 5)² = 4x² - 20x + 25.

Tags

CCSS.HSA.APR.C.4