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Math Help - Finding the x-intercept on a polynomial function?

  1. #1
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    Finding the x-intercept on a polynomial function?

    When finding the x intercept(s) of a polynomial function, I know that I have to set it to zero. I'm just confused because my equation is
    P(x) = -(1/27)x^4 + (4/27)x^3

    I don't know how to solve because when it's set to zero because my exponents aren't the same. It's not like P(x) = x^2 - 4 in which case I would solve like 4 = x^2 *square root both sides* 2 = x. That is simple but how do I solve the above equation when it has a cubed root and an exponent to the fourth? Help please!
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Finding the x-intercept on a polynomial function?

    Try factoring...both terms have \left(\frac{x}{3} \right)^3 as a factor.
    Thanks from gwanda
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