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Math Help - Polynomial Functions-Factoring

  1. #1
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    Polynomial Functions-Factoring

    Im having trouble with this problem in particular involving a complex trinomial

    6x^2y^3 - 18x^3y^2 + 21x^2y

    i know i need to divide them all by 3x^2y but what are my steps after that?
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  2. #2
    Jen
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    \frac{6x^2y^3-18x^3y^2+21x^2y}{3x^2y}=\frac{(3)(2)x^2(y)y^2-3(6)(x)x^2(y)(y)+3(7)x^2y}{3x^2y}

    Notice the way that I have re-written this, each term in the neumerator has a 3, a x^2, and a y, in common. If we factor these out of the top we end up with...

    \frac{ 3x^2y (2y^2-6xy+7) }{3x^2y}

    Then the 3x^2y on the top and bottom divides out and we end up with...

    2y^2-6xy+7
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