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Math Help - Factoring another polynomial function

  1. #1
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    Factoring another polynomial function

    Alright so I've started this one as well.

    Question: Determine the x - intercepts of the polynomial function.

    -36x^4+14x^3+2x^2

    I've factored down to ...

    2x^2(18x^2+7x+1)

    So I'm guessing that I'm going to have to use trial and error. How would I go about using trial and error for future reference?
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  2. #2
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    Quote Originally Posted by Arise01 View Post
    Alright so I've started this one as well.

    Question: Determine the x - intercepts of the polynomial function.

    -36x^4+14x^3+2x^2

    I've factored down to ...

    2x^2(18x^2+7x+1)

    So I'm guessing that I'm going to have to use trial and error. How would I go about using trial and error for future reference?
    First you have a slight error when you factored out the GCF

    -2x^2(18x^2-7x-1)

    Now if we multiply a and c together we get

    -18

    Now we need factors of

    -18

    That add up to

    -7 = -9+2

    So we split the middle term to get

    -2x^2[18x^2-9x+2x-1]=-2x^2[9x(2x-1)+(2x-1)]=

    -2x^2[(2x-1)(9x+1)]
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