Presentation on theme: "AC Method of factoring ax2 + bx +c"— Presentation transcript:
1 AC Method of factoring ax2 + bx +c E.Q. How is ax2 + bx +c put into factored form?
2 AC METHOD 3x2 +11x + 10Looking at your quadratic equation first list a, b and c.a = 3, b = 11, c = 102. Multiply a times c.ac = = 30List all the factors of ac.ac = Add factors to find sum of “b = 11”
3 Original Equation: 3x2 +11x + 10 5. Use the factors to rewrite the middle term of the original equation.Original Equation: 3x2 +11x + 10Rewrite as: 3x2 +5x +6x +10Factor by grouping.(3x2 +5x) (+6x +10)7. Find GCF of each group3x2 +5x = x(3x + 5) and 6x +10 = 2(3x + 5)Notice both groups in parenthesis are the same!!!
4 (x+2)(3x+5) 8. Rewrite your groups x(3x + 5) and 2(3x + 5) to get the final answer.(x+2)(3x+5)9. Check by FOILing.