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Actually, it is easier to define a polynomial as a function of a variable, x, in the form:

p(x) = anxn + an-1xn-1 + ... + a2x2 + a1x + a0 where n is an integer and the ai are constants. A non-polynomial, then, is any function of x which contains one or more terms in x which are not in the form akxk.

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Q: What is the definition of non polynomial?
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