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Math Help - quartic polynomial inequalities

  1. #1
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    quartic polynomial inequalities

    so heres the question

    x^4 + 3x^3 -5x^2 -19x -60 ≤ 0

    i did synthetic division with 3 and got x^3 + 6x^2 +13x +20 =0
    then i did it again with -4 and got x^2 +2x +5

    so generally i have these so far
    (x-3) (x+4) (x^2+2x+5)

    im stuck on the third term

    where do i go from here?
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  2. #2
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    You know: x^2 + 2x + 1 = (x+1)^2
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  3. #3
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    nvm got it guys, if anybody needs the same question just let me know

    i got x= 1 or - 3
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