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Published byWilfrid Shields Modified over 8 years ago
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Factoring Quadratics Using the “X” method
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Warm - up 1. (x - 7) 2 = x 2 - 14x + 49 3. (2k + 3) 2 = 4k 2 + 12k + 9 5. ( t - 6 )( t + 6 ) = t 2 - 36 2. (m + 8) 2 = m 2 + 16m + 64 4. (3z - 5) 2 = 9z 2 - 30k + 25 6. ( 5y 2 - 2 )( 5y 2 + 2) = 25y 2 - 4
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Quadratics with a leading coefficient of 1 Factors of 12 Sum of factors 1 and 12 13 2 and 6 8 3 and 4 7 1. Factor x 2 + 7x + 12 (x + 3) ( x + 4)
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(x + 3) ( x + 4) 12 43 7
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1. Factor x 2 + 21x + 20 (x + 20) ( x + 1) 20 1 21 Your Turn!
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1. Factor x 2 - 6x + 8 (x - 4) ( x - 2) 8 -2-4 -6
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1. Factor x 2 - x - 12 (x + 3) ( x - 4) -12 -43 Your Turn!
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1. Factor x 2 - 9x + 20 (x - 5) ( x - 4) 20 -4-5 -9
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1. Factor x 2 - 7x + 10 (x - 2) ( x - 5) 10 -5-2 -7 Your Turn!
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1. Factor x 2 + 2x - 15 (x - 3) ( x + 5) -15 5-3 2
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1. Factor x 2 + 6x - 7 (x - 1) ( x + 7) -7 7 6 Your Turn!
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Classwork
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