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Factoring x 2 + 7x + 12

Factoring x 2 + bx + c. Find the factors of “c” that have a sum equal to “b”. Factoring x 2 + 7x + 12. (product). 12. 4. 3. 7. (sum). (x + 3)(x + 4) = x 2 + 7x + 12. Factoring x 2 - 9x + 14. (product). 14. -7. -2. -9. (sum). (x - 2)(x - 7) = x 2 - 9x + 14.

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Factoring x 2 + 7x + 12

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  1. Factoring x2 + bx + c Find the factors of “c” that have a sum equal to “b” Factoring x2 + 7x + 12 (product) 12 4 3 7 (sum) (x + 3)(x + 4) = x2 + 7x + 12

  2. Factoring x2 - 9x + 14 (product) 14 -7 -2 -9 (sum) (x - 2)(x - 7) = x2 - 9x + 14

  3. Factoring x2 + 7x - 18 (product) -18 9 -2 7 (sum) (x - 2)(x + 9) = x2 + 7x - 18

  4. Factoring x2 - 7x - 18 (product) -18 -9 2 -7 (sum) (x + 2)(x - 9) = x2 - 7x - 18

  5. Factoring x2– 13xy + 42y2 (product) 42 -7 -6 -13 (sum) (x – 6y)(x – 7y) = x2– 13xy + 42y2

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