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8.5 Factoring x 2 + bx + c

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Factoring with Positives x 2 + 3x + 2 ◦Find two factors of 2 whose sum is 3. ◦Helps to make a list (x + 1)(x + 2) Factors of 2Sum of Factors 1, 21 + 2 = 3

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Try These! a 2 + 7a + 10 ◦Find two factors of 10 whose sum is 7. (a + 5)(x + 2) t 2 + 9t + 14 (t + 7)(t + 2) Factors of 10Sum of Factors 1, 101 + 10 = 11 2, 52 + 5 = 7

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Positives and Negatives n 2 – 5n + 6 ◦Find two factors of 6 whose sum is -5. ◦Helps to make a list (n - 2)(n - 3) Factors of 6Sum of Factors 1, 61 + 6 = 7 2,32 + 3 = 5 -1, -6-1 + -6 = -7 -2, -3-2 + -3 = -5

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Try These! y 2 + 3y - 10 ◦Find two factors of -10 whose sum is 3. (y - 2)(y + 5) w 2 + 6w - 16 (w + 8)(w - 2) Factors of - 10 Sum of Factors 1, -101 + (-10) = - 9 -1, 10-1 + 10 = -9 2, -52 + (-5) = -3 -2, 5-2 + 5 = 3

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Assignment Odds P.515 #11-37

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Table of Contents Factoring: Trinomial (ax 2 + bx + c) Example: Factor 6x 2 - 11x - 2. Second, find two numbers whose product is ac and whose sum is b.

Table of Contents Factoring: Trinomial (ax 2 + bx + c) Example: Factor 6x 2 - 11x - 2. Second, find two numbers whose product is ac and whose sum is b.

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