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Thread: more factoring

  1. January 5th 2008, 02:33 PM #1
    johett
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    more factoring

    more factoring...

    a) 21 x^5 y^4 z^6-15 x^4 y^2 z^8+36 x^8 y^3 z
    b) x^3-5x+4
    c)4 x^4-8 x^3-20 x^2-48x
    d) x^4+ x^3-4 x^2+5x-3

    Thank you
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  2. January 5th 2008, 04:58 PM #2
    johett
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    I've made some progress...not really, actually

    for a) i got 3 x^4 y^2z (7x y^2 z^5-5 z^7+12 x^4y)......I'm not sure if this is the last step or if there's more...
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  3. January 5th 2008, 05:27 PM #3
    Soroban
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    Hello, johett!

    The first one has a common factor . . . and that's all.

    The others require knowledge of the Factor Theorem.

    a)\;21x^5y^4z^6 -15x^4y^2z^8+36x^8y^3z
    3x^4y^2z\left(7xy^2z^5 - 5z^7 + 12x^4y\right) . . . You got it! . . .Good!


    b) \;x^3 - 5x+4
    (x-1)(x^2+x-4)


    c)\;4x^4 -8x^3-20x^2-48x
    4x(x-4)(x^2+2x+3)


    d) \;x^4+x^3-4x^2+5x-3
    (x-1)(x+3)(x^2-x+1)
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