Factoring Perfect Square Trinomials

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What is a perfect square trinomial?

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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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Factor the trinomial: 25x² + 60x + 36

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(5x + 6)²

Tags

CCSS.HSA.APR.C.4

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Factor the trinomial: x² + 18x + 81

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(x + 9)²

Tags

CCSS.HSA.APR.C.4

Front

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

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25x² – 20x + 4

Tags

CCSS.HSA.APR.C.4

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Factor the trinomial: 9x² + 6x + 1

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(3x + 1)²

Tags

CCSS.HSA.APR.C.4

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Factor the trinomial: 25x² - 70x + 49

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(5x - 7)²

Tags

CCSS.HSA.APR.C.4

Front

What is the general form of a perfect square trinomial?

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The general form is a² ± 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

How do 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

Factor the trinomial: 16x² + 24x + 9

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(4x + 3)²

Tags

CCSS.HSA.APR.C.4

Front

Factor the trinomial: 36x² - 12x + 1

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(6x - 1)²

Tags

CCSS.HSA.APR.C.4