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Math Help - Factoring

  1. #1
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    Factoring

    What would be the next step when factoring: x^3 - 3x^2 + 3x - 28

    and

    s^4 - 38s^2t^2 + 72t^4

    and

    x^4 - 29x^2y^2 + 100y^4
    Last edited by foreverbrokenpromises; September 15th 2009 at 03:59 PM. Reason: forgot something
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  2. #2
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    Factor by grouping.



    (x^3-3x^2)+(3x-28)
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  3. #3
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    it doesnt work ):
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  4. #4
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    Hi,

    first steps can be:

    x^3 - 3x^2 + 3x - 28 = x^3+x^2+7x-4x^2-4x-28
    Spoiler:

    =x(x^2+x+7)-4(x^2+x+7)=


    s^4 - 38s^2t^2 + 72t^4= s^4-36s^2t^2 -2s^2t^2+72t^4
    Spoiler:

    =s^2(s^2-36t^2)-2t^2(s^2-36t^2)=


    x^4 - 29x^2y^2 + 100y^4=x^4-4x^2y^2-25x^2y^2+100y^4
    Spoiler:

    =x^2(x^2-4y^2)-25y^2(x^2-4y^2)=
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  5. #5
    Senior Member pacman's Avatar
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    Factoring by Grouping MAY work:

    x^3 - 3x^2 - x^2 + x^2 + 3x - 4x + 4x - 28 =

    (x^3 - 3x^2 - x^2) + (x^2 - 4x) + (3x + 4x - 28) =

    (x^3 - 4x^2) + (x^2 - 4x) + (7x - 28) =

    x^2(x - 4) + x(x - 4) + 7(x - 4) =


    Well, i think you can finish this easily, . . . .
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