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Math Help - degree of polynomial

  1. #1
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    degree of polynomial

    f(x) = ((sqrt)(3x^17)) + 22.5x^10 - 3x^7 + 1/3

    If you can't make that out, it's the square root of 3x^17 for the first term. Now can't one factor out x^16 from under the radical and put x^8 in front? If so, that means the leading term is actually 22.5x^10 and the polynomial actually is of degree 10. My source says it is of degree 17.
    Last edited by kjtruitt; February 21st 2013 at 08:04 AM. Reason: corrected polynomial sign
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  2. #2
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    Re: degree of polynomial

    I agree with you: \sqrt{3x^{17}}=\sqrt{3}x^{8.5} and 8.5 < 10. However, I will say more: this is not a polynomial at least according to Wikipedia because a polynomial must have nonnegative integer exponents.
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  3. #3
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    Re: degree of polynomial

    yeah you're right. Turns out I misread the question, the x term was outside the radical. Now, could you tell me how you managed the typography on the radical?
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