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**Factoring Perfect Square**

Goal Recognize perfect square Goal 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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**Factor the perfect square trinomial:**

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

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

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Example 2 Factor the following trinomials: x2 + 5x + 12 x2 + 6x + 9

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Example 3 Factor the following trinomials: x2 + 8x + 16 4x2 + 12x + 9

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Example 4 Factor the trinomial:

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Factoring Polynomials

Factoring Polynomials

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