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I know a polynomial is defined to have exponents $>=0$ but is there a special categorization for polynomials with negative exponents.

For example:

$y=ax^{3}$ is considered cubic. What would $y=ax^{-3}$ be considered? Is there a special negative equivalence for linear, quadratic, cubic, etc?

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 They're called Laurent polynomials. Or rather, that is the name for polynomials that have terms of either positive of negative degree, so x^2 - 4 + 7/x^3 is a Laurent polynomial. See the Wikipedia page en.wikipedia.org/wiki/Laurent_polynomial for more information. – KConrad Mar 5 2011 at 5:26

closed as not a real question by Andrey Rekalo, Felipe Voloch, Zev Chonoles, Andres Caicedo, Mariano Suárez-Alvarez Mar 5 2011 at 2:42

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