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Polynomial Inequality

  1. Oct 8, 2015 #1
    1. The problem statement, all variables and given/known data
    solve 3x4+2x2-4x+6≥6x4-5x3-9x+2

    Do not use technology (i.e.-graphing calculators)

    2. Relevant equations
    Remainder Theorem

    3. The attempt at a solution
    I set the inequality equal to zero
    -3x4+5x3+3x2+5x+4≥0

    Checking all the Possible rational roots for a possible factors... none worked... therefore roots not nice numbers. I was hoping to get this factored down and do an interval test and go about it from there but that won't work. Is there a different way to approach this question?
     
  2. jcsd
  3. Oct 8, 2015 #2
    Looks like it should be 2x^2 not 3x^2
     
  4. Oct 12, 2015 #3
    If you look at -3x^4+2x^2+4>-5x^3-5x

    It seems it is only one single interval ?
     
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