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Math Help - factoring a quartic function

  1. #1
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    factoring a quartic function

    I'm not sure how to factor or solve this problem without graphing, but I know the answer comes to be positive and negative rad 5 and positive and negative rad 2. I need to know how to go through the process to find these 4 answers.

    here's the formula:
    0=x^4-2x^3-6x^2+4x+8


    thanks so much if you can help!!
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  2. #2
    Eater of Worlds
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    Replace the 6x^{2} with -4x^{2}-2x^{2}, then group.

    (x^{4}-2x^{3}-4x^{2})-(2x^{2}+4x+8)

    Factor:

    x^{2}(x^{2}-2x-4)-2(x^{2}-2x-4)

    (x^{2}-2)(x^{2}-2x-4)

    Now, you can solve each of the quadratics for their two solutions and you're set.

    All the solutions are real.
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