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AC Method of factoring ax 2 + bx +c E.Q. How is ax 2 + bx +c put into factored form?

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AC METHOD 3x 2 +11x Looking at your quadratic equation first list a, b and c. a = 3, b = 11, c = Multiply a times c. ac = 3 10 = 30 3.List all the factors of ac. ac = 304. Add factors to find sum of “b = 11”

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5. Use the factors to rewrite the middle term of the original equation. Original Equation: 3x 2 +11x + 10 Rewrite as: 3x 2 +5x +6x Factor by grouping. (3x 2 +5x) (+6x +10) 7. Find GCF of each group 3x 2 +5x = x(3x + 5) and 6x +10 = 2(3x + 5) Notice both groups in parenthesis are the same!!!

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8. Rewrite your groups x(3x + 5) and 2(3x + 5) to get the final answer. (x+2)(3x+5) 9. Check by FOILing.

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1)6t 2 + 2t - 4 2)2x x + 5 Factor These Trinomials!

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