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Math Help - Finding Zeros of a Polynomial

  1. #1
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    Finding Zeros of a Polynomial

    Hello, all.

    I need to find the zeros of the following polynomial so that I can graph it:

    f(x)=3x^2-x^4-2x

    First I factored out x and got:

    x(-x^3+3x-2)

    I used synthetic division to find another zero (-2) and so I now have:

    x(x+2)(-x^2+2x-1)

    I'm not sure how I can go any further. Can -x^2+2x-1 be factored out?

    Thanks!
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  2. #2
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    Quote Originally Posted by JennyFlowers View Post
    Hello, all.

    I need to find the zeros of the following polynomial so that I can graph it:

    f(x)=3x^2-x^4-2x

    First I factored out x and got:

    x(-x^3+3x-2)

    I used synthetic division to find another zero (-2) and so I now have:

    x(x+2)(-x^2+2x-1)

    I'm not sure how I can go any further. Can -x^2+2x-1 be factored out?

    Thanks!
    -(x^2-2x+1) = -(x-1)^2
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