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Perfect Square Trinomials

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Form for Perfect Square Trinomials: a 2 + 2ab + b 2 OR a 2 – 2ab + b 2

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When factoring: If the first term and last term are Perfect Squares, check for a perfect square Trinomial

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When factoring: If the first term and last term are Perfect Squares, check for a perfect square Trinomial a 2 + 2ab + b 2 = (a + b) 2 Or a 2 – 2ab + b 2 = (a – b) 2

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Example 1: x 2 + 6x + 9

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Example 2: x 2 + 16x + 64

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Practice 1: x 2 + 20x + 100

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Factoring Trinomials with a Leading Coefficient

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ax 2 + bx + c If a ≠ 1, then: 1.Create a list of factors for a and c

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ax 2 + bx + c If a ≠ 1, then: 1.Create a list of factors for a and c 2.Find a combination of the factors of a and c that add up to b

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ax 2 + bx + c If a ≠ 1, then: 1.Create a list of factors for a and c 2.Find a combination of the factors of a and c that add up to b 3.Write the binomials

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Example 1: 3x 2 + 11x + 6

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Example 2: 8x 2 – 10x – 3

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Example 3: 16x 2 – 16x + 4

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Practice 1: 5x 2 + 12x + 7

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Practice 2: 6x 2 – 29x – 5

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Practice 3: 12x 2 + 25x + 13

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