Factoring Trinomials:

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Factoring Trinomials x 2 + bx + c CORD Math Mrs. Spitz Fall 2006.

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Factoring Trinomials: x2 + bx + c

Rules 1) x2 + bx + c = (x + m)(x + n) when m + n = b and mn=c Multiply the coefficient of the first term by the last term to find the number that will be factored. _x2 + bx + c Since there is no number in front of the first term, it is understood to be 1. Why is the coefficient understood to be 1?

Factor: x2 + 6x + 8 Factors Sum 1, 8 9 2, 4 6 2 4 (x + )(x + ) m n

Factor: x2 + 7x + 12 Factors Sum 1, 12 13 2, 6 8 3, 4 7 (x + 3)(x + 4)

Factor: x2 - 10x + 16 Factors Sum (x - 2)(x - 8)

Factor: x2 - 12x + 27 Factors Sum (x - 3)(x - 9)

Factor: x2 + 11x + 30 Factors Sum (x + 5)(x + 6)

Factor: x2 - 9x + 18 Factors Sum (x - 3)(x - 6)

Factor: x2 + x - 12 Factors Sum (x + 4)(x - 3)

Factor: x2 + 3x - 18 Factors Sum (x + 6)(x - 3)

Factor: x2 - x - 20 Factors Sum (x + 4)(x - 5)

Factor: x2 - 8x + 15 Factors Sum (x - 3)(x - 5)

Factor: x2 + 10x - 24 Factors Sum (x + 12)(x - 2)

Factor: x2 + 12x + 36 Factors Sum (x + 6)(x + 6)