Does an expression, to be consider as a polynomial, have to have a term in it that has a variable to at least the second degree?
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A polynomial is of the form $\displaystyle \displaystyle y = c_0 + c_1x + c_2x^2 + c_3x^3 + \dots + c_nx^n $ where $\displaystyle \displaystyle c_i, i = 1, 2, \dots , n$ are constants.
The constants can be ANY value, including $\displaystyle \displaystyle 0$. Does that answer your question?