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i would say a not poly

Do you have a definition?

yes http://www.mathsisfun.com/algebra/polynomials.html

how many terms does it have?

What do you have up there that violates the definition of "polynomial"?

Of course, we should agree that it IS a polynomial, first.

Our friend Paul writes with clarity about polynomials at the link:
http://tutorial.math.lamar.edu/Classes/Alg/Polynomials.aspx
Two blurbs from his notes are attached below.
It is possible to have a polynomial with three variables as does the polynomial:
9x² y^³ - 2x³ z

You are asking about the number of terms in the polynomial P(x) = 9x² y^³ - 2x³ z
To help you with that, study the attached chart.

It's not rocket science...it's a binomial