Precalculus 11

Hello, I'm hoping someone can explain this to me:

I'm ID-ing polynomials;

-x^7-5x^4+(3/x)= not a polynomial

.25x^3+3.9x^2-(x/3)= polynomial

Why is 3/x not but x/3 is?

Thanks a bunch! :)

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  1. in polynomials, all the exponents for the variable are positive

    x / 3 = 1/3 x^1

    3 / x = 3 x^-1

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  2. OK, so then any unknown variable is negative, correct?

    Thanks a bunch again :) I appreciate your help

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  3. Sorry, I meant to say any unknown variable in the denominator :o

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