college algebra--need help please!!

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solve the equation in the real number system.
2x^4-23x^3+75x^2-88x+28=0
What are the real solutions of the equations?

please show work. I do not know how to work this at all

  • college algebra--need help please!! -

    x f(x)
    1 -6
    0 28
    -1 216

    so there is a zero between zero x=0 AND x = 1
    You can iterate and find it
    then divide by (x-xo)
    However before doing that I would search on Google for a polynomial grapher.

  • college algebra--need help please!! -

    http://mathportal.org/calculators/polynomials-solvers/polynomial-graphing-calculator.php

    yields 1/2 , 2 , 7

  • college algebra--need help please!! -

    by the way you can see from the graph that 2 is a double root
    If you were clever enough to factor this you would have
    (2x-1)(x-2)(x-2)(x-7)

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