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Math Help - Rational Root Theorem for polynomials...

  1. #1
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    Smile Rational Root Theorem for polynomials...

    Given n E N, find a p(x) E q(x) of degree n which has no rational roots..

    where standard polynomial equation is:
    P(x) = (c_n)x^n + (c_n-1)x^n-1 + (c_n-2)x^n-2+....(c_1)x^1 + C_o

    and similarly we may assume the polynomial equation for q(x) using 'm' in terms of 'n'....
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  2. #2
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    The polynomial x^n - 2 never has a rational root when n\geq 2.
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  3. #3
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    I am sorry, I guess the description was not clear. I meant for x^(n-1), x^(n-2), x^(n-3)....and so on...

    this is not given..but I guess this might be the standard way of writing any polynomial and I got it from wikipedia...
    I hope that helps to help me...
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