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AC Method of factoring ax 2 + bx +c

AC Method of factoring ax 2 + bx +c. E.Q. How is ax 2 + bx +c put into factored form?. AC METHOD 3x 2 +11x + 10. Looking at your quadratic equation first list a, b and c. a = 3, b = 11, c = 10 2. Multiply a times c. ac = 3 10 = 30

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AC Method of factoring ax 2 + bx +c

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  1. AC Method of factoring ax2 + bx +c E.Q. How is ax2 + bx +c put into factored form?

  2. AC METHOD3x2 +11x + 10 • Looking at your quadratic equation first list a, b and c. a = 3, b = 11, c = 10 2. Multiply a times c. ac = 3 10 = 30 • List all the factors of ac. ac = 30 4. Add factors to find sum of “b = 11” 1 30 -1 -30 2 15 -2 -15 3 10 -3 -10 5 6 -5 -6

  3. 5. Use the factors to rewrite the middle term of the original equation. Original Equation: 3x2 +11x + 10 Rewrite as: 3x2 +5x +6x +10 Factor by grouping. (3x2 +5x)(+6x +10) 7. Find GCF of each group 3x2 +5x = x(3x + 5) and 6x +10 = 2(3x + 5) Notice both groups in parenthesis are the same!!!

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

  5. Factor These Trinomials! 6t2 + 2t - 4 2x2+ 11x + 5

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