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March 27, 2017

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let P(x)=2x^4-x^3+13^2-8x-24. Use synethetic division to show that x+1 is a factor of P(x)

Answer:2x^3-3x^2+16x-24

Then find all real and imaginary roots of P(x)=0.

  • Pre-cal - ,

    Have you learned about synthetic (or polynomial) division?

    If not, you should. The following reference should help.

    One of the roots of P(x) = 0 will be x = -1, since x+1 is a factor. To get the other three roots, you need to solve the cubic equation
    2x^3 -3x^2 +16x -24 = 0

    That will not be easy.
    You will find some hints here:
    http://oakroadsystems.com/math/polysol.htm

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