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10 January 2011

10 January 2011. Algebra 2. Bellringer . Find the vertex: f(x)=x 2 + 10x – 5 What are factors?. Vocabulary. Vertex Zero X-intercept Parabola. Solving Quadratics by Factoring 1/10.

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10 January 2011

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  1. 10 January 2011 Algebra 2

  2. Bellringer • Find the vertex: f(x)=x2 + 10x – 5 • What are factors?

  3. Vocabulary • Vertex • Zero • X-intercept • Parabola

  4. Solving Quadratics by Factoring 1/10 If the quadratic equation is already factored, set each set of parentheses equal to zero, then solve for x (x + 5)(x – 2) = 0 Already Factored

  5. Solving Quadratics by Factoring 1/10 If the quadratic equation is already factored, set each set of parentheses equal to zero, then solve for x (x + 5)(x – 2) = 0 x + 5 = 0 x – 2 = 0 Already Factored

  6. Solving Quadratics by Factoring 1/10 If the quadratic equation is already factored, set each set of parentheses equal to zero, then solve for x (x + 5)(x – 2) = 0 x + 5 = 0 x – 2 = 0 - 5 - 5 + 2 + 2 Already Factored

  7. Solving Quadratics by Factoring 1/10 If the quadratic equation is already factored, set each set of parentheses equal to zero, then solve for x (x + 5)(x – 2) = 0 x + 5 = 0 x – 2 = 0 - 5 - 5 + 2 + 2 x = -5 x = 2 Already Factored

  8. Solving Quadratics by Factoring 1/10 If the quadratic equation is not factored, -Identify a,b,c x2 + 4x - 12= 0 Factor a Quadratic

  9. Solving Quadratics by Factoring 1/10 If the quadratic equation is not factored, -Identify a,b,c x2 + 4x - 12= 0 a b c Factor a Quadratic

  10. Solving Quadratics by Factoring 1/10 If the quadratic equation is not factored, -Identify a,b,c x2 + 4x - 12= 0 a b c a = 1 b = 4 c = -12 Factor a Quadratic

  11. Solving Quadratics by Factoring 1/10 If the quadratic equation is not factored, -Multiply a and c x2 + 4x - 12= 0 a = 1 c = -12 ac = -12 Factor a Quadratic

  12. Solving Quadratics by Factoring 1/10 If the quadratic equation is not factored, -Make a chart listing the factors of ac ac = -12 b = 4 Factor a Quadratic

  13. Solving Quadratics by Factoring 1/10 If the quadratic equation is not factored, -Add the a and c columns ac = -12 b = 4 Factor a Quadratic

  14. Solving Quadratics by Factoring 1/10 If the quadratic equation is not factored, -Add the a and c columns ac = -12 b = 4 Since b = 4, and 6 + -2 = 4, our factors are 6,-2. Factor a Quadratic

  15. Solving Quadratics by Factoring 1/10 x2 + 4x - 12= 0 Factors: 6,-2 Factor a Quadratic

  16. Solving Quadratics by Factoring 1/10 x2 + 4x - 12= 0 Factors: 6,-2 Factored Form: (x + 6)(x – 2) = 0 Factor a Quadratic

  17. Solving Quadratics by Factoring 1/10 x2 + 4x - 12= 0 Factors: 6,-2 Factored Form: (x + 6)(x – 2) = 0 Solve: x + 6 = 0 x – 2 = 0 Factor a Quadratic

  18. Solving Quadratics by Factoring 1/10 x2 + 4x - 12= 0 Factors: 6,-2 Factored Form: (x + 6)(x – 2) = 0 Solve: x + 6 = 0 x – 2 = 0 Final Answers: x = -6, 2 Factor a Quadratic

  19. Solving Quadratics by Factoring 1/10 Example 2 -Identify a,b,c x2 + 5x + 6= 0 Factor a Quadratic

  20. Solving Quadratics by Factoring 1/10 Example 2 -Identify a,b,c x2 + 5x + 6= 0 a b c Factor a Quadratic

  21. Solving Quadratics by Factoring 1/10 Example 2 -Identify a,b,c x2 + 5x + 6= 0 a b c a = 1 b = 5 c = 6 Factor a Quadratic

  22. Solving Quadratics by Factoring 1/10 Example 2: Multiply ac, and make a table ac = 6 b = 5 Factor a Quadratic

  23. Solving Quadratics by Factoring 1/10 Example 2: Multiply ac, and make a table ac = 6 b = 5 Factor a Quadratic

  24. Solving Quadratics by Factoring 1/10 Example 2: Multiply ac, and make a table ac = 6 b = 5 Factor a Quadratic

  25. Solving Quadratics by Factoring 1/10 Example 2: Multiply ac, and make a table ac = 6 b = 5 factors: 2,3 Factor a Quadratic

  26. Solving Quadratics by Factoring 1/10 Example 2 x2 + 5x + 6= 0 factors: 2,3 Factored Form: (x + 2)(x + 3) = 0 Factor a Quadratic

  27. Solving Quadratics by Factoring 1/10 Example 2 x2 + 5x + 6= 0 factors: 2,3 Factored Form: (x + 2)(x + 3) = 0 Solve: x + 2 = 0 x + 3 = 0 Factor a Quadratic

  28. Solving Quadratics by Factoring 1/10 Example 2 x2 + 5x + 6= 0 factors: 2,3 Factored Form: (x + 2)(x + 3) = 0 Solve: x + 2 = 0 x + 3 = 0 Final Answers: x = -2, -3 Factor a Quadratic

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