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Math Help - polynomial fuction

  1. #1
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    polynomial fuction

    Hello, I need a polynomial function that is 4th degree with no real roots,
    how do I get that?
    ty
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  2. #2
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    Quote Originally Posted by cokeclassic View Post
    Hello, I need a polynomial function that is 4th degree with no real roots,
    how do I get that?
    ty

    Do you know of a polynomial with degree 2 that has no real roots. If so square it and you are done. if you dont just ask
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  3. #3
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    Um I am not sure what I am even doing so, no I dont
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  4. #4
    Behold, the power of SARDINES!
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    Quote Originally Posted by cokeclassic View Post
    Um I am not sure what I am even doing so, no I dont
    Basically you want a quadratic that has no real roots. My personal favorite is x^2+1

    No matter what x you choose it will never equal zero.

    Any quadratic of the form ax^2+bx+c will have no real roots if the discriminate is negative.

    The discriminate is the part of the quadratic formula under the square root. eg this part b^2-4ac

    if we check my favorite above its discriminate is

    0^2-4(1)(1)=-4< 0 so it have no real roots.


    If you square a polynomial you don't change its roots just how many times they are repeated so to get a fourth degree just square my favorite above

    (x^2+1)^2=x^4+2x^2+1

    I hope this helps you understand a bit better
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