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.

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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.
The expression $$ 2x^{2} + 3x^{-3} - 1 $$ is not a polynomial because it contains a term with a negative exponent.

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