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Factoring Perfect Square Goal 1 Recognize perfect square Goal 2 Factor perfect square using patterns.

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Recall what happens when you multiply the following: (x + 4)(x + 4) (x – 3) 2 The results are called ____________________________.

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Factoring a Perfect Square Trinomial OR It has to be exactly in this form to use this rule. When you have a base being squared plus or minus twice the product of the two bases plus another base squared, it factors as the sum (or difference) of the bases being squared.

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Example 1 Factor the perfect square trinomial: If you can recognize that it fits the form of a perfect square trinomial, you can save yourself some time. *Fits the form of a perfect square trinomial *Factor as the sum of bases squared

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Does the middle term fit the pattern, 2ab? Yes, the factors are (a + b) 2 : b a

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Does the middle term fit the pattern, 2ab? Yes, the factors are (a - b) 2 : b a

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Example 2 Factor the following trinomials: x 2 + 5x + 12x 2 + 6x + 9

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Example 3 Factor the following trinomials: x 2 + 8x + 164x x + 9

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Factor the trinomial: Example 4

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