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**10-6 Solving Quadratic Equations by Factoring**

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**Zero-Product Property**

States that if the product of 2 factors is zero, then 1 (or both) of the factors must be 0. If the product ab=0, then a=0 OR b=0.

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Solving by factoring Make sure the equation is written in standard form. (ax2+bx+c=0) Factor Set factors each with variables = 0. Solve for x. Check

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Examples x2+7x+12 = d2-2d-24=0 n2+4n= a2+18a-10=0 c2+13c= w2-5w=0

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**Summary of Methods for Solving ax2+bx+c**

1)Finding square roots 2) Quadratic Formula 3) Factoring Comments 1)Efficient for ax2+c=0 2)Can be used on ANY quadratic 3) Efficient if quadratic can be factored easily

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Quadratic Formula

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assignment

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MM2A3 Students will analyze quadratic functions in the forms f(x) = ax 2 +bx + c and f(x) = a(x – h) 2 = k. MM2A4b Find real and complex solutions of equations.

MM2A3 Students will analyze quadratic functions in the forms f(x) = ax 2 +bx + c and f(x) = a(x – h) 2 = k. MM2A4b Find real and complex solutions of equations.

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