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Factoring x 2 + 7x + 12

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## Factoring x 2 + 7x + 12

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**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**Factoring x2 - 9x + 14**(product) 14 -7 -2 -9 (sum) (x - 2)(x - 7) = x2 - 9x + 14**Factoring x2 + 7x - 18**(product) -18 9 -2 7 (sum) (x - 2)(x + 9) = x2 + 7x - 18**Factoring x2 - 7x - 18**(product) -18 -9 2 -7 (sum) (x + 2)(x - 9) = x2 - 7x - 18**Factoring x2– 13xy + 42y2**(product) 42 -7 -6 -13 (sum) (x – 6y)(x – 7y) = x2– 13xy + 42y2