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Math Help - Finding the x-intercepts of a quartic

  1. #1
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    Exclamation Finding the x-intercepts of a quartic

    Hi!
    I have to sketch the graph of the following function, but I dont remember how I'm supposed to find the x-intercepts of a quartic. I know I have to set y=0 but Im having difficulty factoring.

    The function is f(x) =x^4 - 4x^3

    Can someone please gice me an explanation as to how I should go about solving this?
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  2. #2
    MHF Contributor red_dog's Avatar
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    f(x)=0\Rightarrow x^4-4x^3=0\Rightarrow x^3(x-4)=0\Rightarrow x=0, \ x=4
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  3. #3
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    I just worked that out as well!
    Thanks so much!!
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  4. #4
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    This function has no asymptotes right?
    Because its a polynomial, meaning there are no restrictions?
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