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Math Help - Factoring

  1. #1
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    Factoring

    3) Examine the equation y = u^4 - u^2 - 6. Factor it. (HINT: Can you manipulate the symbols so that you get a quadratic?)

    So, I have no idea how to start this...can anyone help? Thanks
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  2. #2
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    Re: Factoring

    take u^2=t
    so eqn reduces to
    t^2-t-6
    now 6 has factorisation as=2*3*1
    middle term=-1*t
    so u want to get -t
    this u can get by splitting it into -3t+2t
    now eqn is t^2-3t+2t-6
    t(t-3)+2(t-3)
    (t+2)(t-3)
    substitute value of t back u get
    (u^2+2)(u^2-3)
    Thanks from eleventhhour
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