Is #f(x)=(2x^3-5x^5-2)/(9x^2+9)# a polynomials?
No, the ratio is not a polynomial. (The numerator and denominator separately are polynomials.)
A polynomial (in one variable) consists of terms (things added together), each of which is a constant (a number) times the variable raised to some positive whole number power (or just a constant alone).
The terms are
Actually, I've listed the terms with non0zero coefficient. If we want, we can also insert "terms"
(And the function