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Math algebra

15/10/2020 Client: anasa Deadline: 24 Hours

  x^4+3/2x^3+9/2x^2+6x+2  


 



  1. Post your solution to your chosen problem. Use the theorems from the chapter to determine the number of zeros. You should use the factor theorem, rational zero theorem, conjugate zeros theorem, and Descartes’ rule of signs.



  • Determine the number of zeros for the polynomial.

  • Use the rational zero theorem to find the possible rational roots/zeros. State all the possible rational roots/zeros.

  • Use synthetic division to find a rational root. Repeat until the polynomial has been factored down from a 4th degree polynomial to a quadratic polynomial.

  • Solve the roots/zeros for the quadratic polynomial by factoring or using the quadratic formula.

  • If you find a complex root/zero, remember they come in conjugate pairs (state the theorem as proof).

  • Graph the original polynomial after finding all the roots/zeros.

  • The graph should show and state the real roots/zeros, and you should use the Descartes’ rule of signs.

  • Create a table of positive/negative values on each side of a real root/zero to determine if the graph is above/below the root/zero.

  • Determine end behavior of the polynomial and find and state the y-intercept. (Remember to state it as an ordered pair and make sure it is properly displayed in your graph.)

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