Answer
No, the algebraic expression $\frac{2x+3}{x}$ is not a polynomial.
Work Step by Step
The degrees of the variables in the algebraic expression are not non-negative, so this is not a polynomial. To simplify, write as two separate fractions:
$$\frac{2x+3}{x}$$ $$=\frac{2x}{x}+\frac{3}{x}$$ $$=2+3x^{-1}$$