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10-6 Solving Quadratic Equations by Factoring. Zero-Product Property States that if the product of 2 factors is zero, then 1 (or both) of the factors.

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Presentation on theme: "10-6 Solving Quadratic Equations by Factoring. Zero-Product Property States that if the product of 2 factors is zero, then 1 (or both) of the factors."— Presentation transcript:

1 10-6 Solving Quadratic Equations by Factoring

2 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.

3 Solving by factoring 1)Make sure the equation is written in standard form. (ax 2 +bx+c=0) 2)Factor 3)Set factors each with variables = 0. 4)Solve for x. 5)Check

4 Examples x 2 +7x+12 =0 d 2 -2d-24=0 n 2 +4n=-3 4a 2 +18a-10=0 c 2 +13c=0 w 2 -5w=0

5 Summary of Methods for Solving ax 2 +bx+c Method 1)Finding square roots 2) Quadratic Formula 3) Factoring Comments 1)Efficient for ax 2 +c=0 2)Can be used on ANY quadratic 3) Efficient if quadratic can be factored easily

6 Quadratic Formula

7 assignment


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