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Math Help - Solving Polynomial Equations

  1. #1
    Junior Member
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    Solving Polynomial Equations

    The passenger section of a train has width 2x-7, length 2x+3, and height x-2, with all dimensions in metres. Solve a polynomial equation to determine the dimensions of the section of the train if the volume is 117 m^3.

    I tried this and I got the expanded equation 4x^3-16x^2-5x-75. When I tried solving it, it was unfactorable, but the answer at the back has whole number answers.
    Can somebody help me please?
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  2. #2
    Super Member Quacky's Avatar
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    Windsor, South-East England
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    Re: Solving Polynomial Equations

    Agreed with 4x^3-16x^2-5x-75=0
    I think there is a real, integer root. Test the factors of 75: x=1, x=3, x=5, etc until you find it.
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