14 Is the algebraic expression a polynomial? If it is, write the polynomial in standard form. \( 2 x^{2}+3 x^{-3}-1 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes, the expression is a polynomial. The expression written in standard form is B. No, the expression is not a polynomial.

To determine if the expression \( 2x^{2} + 3x^{-3} - 1 \) is a polynomial, we need to check the following conditions: 1. A polynomial is an expression that consists of variables raised to non-negative integer powers. 2. The coefficients of the polynomial can be any real numbers. Now, let's analyze the given expression: - The term \( 2x^{2} \) is a polynomial term because the exponent \( 2 \) is a non-negative integer. - The term \( 3x^{-3} \) is not a polynomial term because the exponent \( -3 \) is a negative integer. - The term \( -1 \) is a constant term and is considered a polynomial term. Since the expression contains a term with a negative exponent, it does not meet the criteria for being a polynomial. Thus, the correct choice is: B. No, the expression is not a polynomial.