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Math Help - Find all the zeros of the function algebraically.

  1. #1
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    Find all the zeros of the function algebraically.

    Find all real zeros of the function algebraically.

    f(x)= x^4 - x^3 - 15x^2


    help anyone?
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    Re: Find all the zeros of the function algebraically.

    x^4-x^3-15x^2=x^2(x^2-x-15)
    Can you find all the zeros in that?
    Thanks from topsquark
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    Re: Find all the zeros of the function algebraically.

    Quote Originally Posted by Shakarri View Post
    x^4-x^3-15x^2=x^2(x^2-x-15)
    Can you find all the zeros in that?
    no i can not =/

    can you help me, i'm getting desperate.
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    Re: Find all the zeros of the function algebraically.

    0,0, 1\pm\sqrt{61}/2
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    Re: Find all the zeros of the function algebraically.

    Quote Originally Posted by sciencepal View Post
    0,0, 1\pm\sqrt{61}/2
    can you please show how you got that? this is just a sample problem and i'm goin to have a similar problem on my test, i'd appreciate it.
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    Re: Find all the zeros of the function algebraically.

    Shakarri meant that one, x^2(x^2-x-15)

    now you have in the brackets a second degree equation, it's impossible that you can not find the zeros from that one, try it,

    ps: oops, we might have answered in the same time
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    Re: Find all the zeros of the function algebraically.

    Quote Originally Posted by dokrbb View Post
    Shakarri meant that one, x^2(x^2-x-15)

    now you have in the brackets a second degree equation, it's impossible that you can not find the zeros from that one, try it,

    dokrbb
    so you factored out an x squared, i see that, but i still don't know how to find the zeros from that one. =/
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    Re: Find all the zeros of the function algebraically.

    x^2(x^2-x-15) is zero when either x^2=0 or x^2-x-15=0
    Find the values of x which make either of those zero.
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    Re: Find all the zeros of the function algebraically.

    Quote Originally Posted by Shakarri View Post
    x^2(x^2-x-15) is zero when either x^2=0 or x^2-x-15=0
    Find the values of x which make either of those zero.
    that sounds completely foreign to me =/

    there is a similar problem to this on my test, and i'm trying to figure this out. i was hoping you or someone would briefly post the steps used to solve it. sorry if i sound rude
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  10. #10
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    Re: Find all the zeros of the function algebraically.

    Never mind i got it.
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