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example 4

example 4. Solving a Quartic Equation. Chapter 6.4. Solve the equation. 2009 PBLPathways. Solve the equation. Solve the equation. Solving Cubic and Quartic Equations of the Form f(x) = 0 Determine the possible rational solutions of f(x) = 0 .

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example 4

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  1. example 4 Solving a Quartic Equation Chapter 6.4 Solve the equation . 2009 PBLPathways

  2. Solve the equation .

  3. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Determine the possible rational solutions of f(x) = 0. Graph y = f(x) to see if any of the values from Step 1 are x-intercepts. The x-intercepts are also solutions to f(x) = 0. Find the factors associated with the x-intercepts from Step 2. Use synthetic division to divide f (x) by the factors from Step 3 to confirm the graphical solutions and find additional factors. Continue until a quadratic factor remains. Use factoring or the quadratic formula to find the solutions associated with the quadratic factor. These solutions are also solutions to f(x) = 0.

  4. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Determine the possible rational solutions of f(x) = 0.

  5. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Determine the possible rational solutions of f(x) = 0.

  6. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Determine the possible rational solutions of f(x) = 0.

  7. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Graph y = f(x) to see if any of the values from Step 1 are x-intercepts. The x-intercepts are also solutions to f(x) = 0. y x

  8. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Graph y = f(x) to see if any of the values from Step 1 are x-intercepts. The x-intercepts are also solutions to f(x) = 0. (-1, 0) y (-2, 0) x

  9. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Find the factors associated with the x-intercepts from Step 2. ?

  10. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use synthetic division to divide f (x) by the factors from Step 3 to confirm the graphical solutions and find additional factors. Continue until a quadratic factor remains. ? ?

  11. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use synthetic division to divide f (x) by the factors from Step 3 to confirm the graphical solutions and find additional factors. Continue until a quadratic factor remains. ?

  12. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use synthetic division to divide f (x) by the factors from Step 3 to confirm the graphical solutions and find additional factors. Continue until a quadratic factor remains. ?

  13. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use synthetic division to divide f (x) by the factors from Step 3 to confirm the graphical solutions and find additional factors. Continue until a quadratic factor remains.

  14. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use factoring or the quadratic formula to find the solutions associated with the quadratic factor. These solutions are also solutions to f(x) = 0.

  15. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use factoring or the quadratic formula to find the solutions associated with the quadratic factor. These solutions are also solutions to f(x) = 0.

  16. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use factoring or the quadratic formula to find the solutions associated with the quadratic factor. These solutions are also solutions to f(x) = 0.

  17. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use factoring or the quadratic formula to find the solutions associated with the quadratic factor. These solutions are also solutions to f(x) = 0.

  18. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use factoring or the quadratic formula to find the solutions associated with the quadratic factor. These solutions are also solutions to f(x) = 0.

  19. Solve the equation . Solving Cubic and Quartic Equations of the Form f(x) = 0 Use factoring or the quadratic formula to find the solutions associated with the quadratic factor. These solutions are also solutions to f(x) = 0. (-1, 0) y (-2, 0) x (0.58, 0) (-2.58, 0)

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