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No. It would not be a polynomial function then.
It is any function of the form ax3 + bx2 + cx +d where a is not zero.
A rational function is the quotient of two polynomial functions.
fundamental difference between a polynomial function and an exponential function?
No, it is not. f(x) = 2x + 3 and g(x) = 3x2 are polynomials but f(x)/g(x) is not a polynomial.