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Math Help - Factoring Polynomials

  1. #1
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    Factoring Polynomials

    Hey there,

    I'm new here, and am having some trouble with factoring. I have already done quadratic trinomials but am having a lot of trouble figuring out polynomials.

    Here is one of the questions:

    16x - 48x - 9x + 27
    Any help would be much appreciated.

    Thanks,
    Mike
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    Quote Originally Posted by MikeMcC View Post
    Hey there,

    I'm new here, and am having some trouble with factoring. I have already done quadratic trinomials but am having a lot of trouble figuring out polynomials.

    Here is one of the questions:

    16x - 48x - 9x + 27
    Any help would be much appreciated.

    Thanks,
    Mike
    factor by grouping

    (16x^3-48x^2)+(-9x+27)=
    16x^2(x-3)-9(x-3)=(x-3)(16x^2-9)=(x-3)(4x-3)(4x+3)
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  3. #3
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    Hi Mike, you should consider the factor theorem in this problem.

    read this

    Factor theorem - Wikipedia, the free encyclopedia

    Your constant term is 27, so try the theorem with its factors
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  4. #4
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    Cool, thanks a lot guys. Doesn't take too long to get an answer around here at all does it? This helps a lot!!
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