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6.3 Solving Quadratic Equations by Factoring

6.3 Solving Quadratic Equations by Factoring. Write a quadratic equation with given roots. Roots or Zeros of the Quadratic Equation. The Roots or Zeros of the Quadratic Equation are the points where the graph hits the x axis.

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6.3 Solving Quadratic Equations by Factoring

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  1. 6.3 Solving Quadratic Equations by Factoring Write a quadratic equation with given roots

  2. Roots or Zeros of the Quadratic Equation The Roots or Zeros of the Quadratic Equation are the points where the graph hits the x axis. The zeros of the functions are the input that make the equation equal zero. Roots are 4,-3

  3. To solve a Quadratic Equation Make one side zero. Then factor then set each factor to zero

  4. Solve

  5. Solve

  6. Solve

  7. Solve

  8. Solve

  9. Solve

  10. Solve Multiply the ends together and find what adds to the coefficient of the middle term

  11. Solve Use -6 and 1 to break up the middle term

  12. Solve Use group factoring to factor, first two terms and then the last two terms

  13. Solve

  14. How to write a quadratic equation with roots Given r1,r2 the equation is (x - r1)(x - r2)=0 Then foil the factors, x2 - (r1 + r2)x+(r1· r2)=0

  15. How to write a quadratic equation with roots Given r1,r2 the equation is (x - r1)(x - r2)=0 Then foil the factors, x2 - (r1 + r2)x+(r1· r2)=0 Roots are -2, 5 Equation x2 - (-2+5)x+(-2)(5)=0 x2 - 3x -10 = 0

  16. How to write a quadratic equation with roots Roots are ¼, 8 Equation x2 -(¼+8)x+(¼)(8)=0 x2 -(33/4)x + 2 = 0 Must get rid of the fraction, multiply by the common dominator. 4 4x2 - 33x + 8 = 0

  17. Homework Page 304 # 15 – 41 odd

  18. Homework Page 304 # 14 – 42 even

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