Determine whether the expression (5x^{2} + 3x^{-1} + 7) is a polynomial.

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Step:1 ：Step 1: Recall that a polynomial is an expression of the form (a_{n}x^{n} + a_{n-1}x^{n-1} + dots + a_{2}x^{2} + a_{1}x + a_{0}), where (a_{n}, a_{n-1}, dots, a_{2}, a_{1}, a_{0}) are constants and the exponents are non-negative integers.Step:2 ：Step 2: Look at the given expression (5x^{2} + 3x^{-1} + 7) and notice that the second term (3x^{-1}) has a negative exponent. This is not allowed in a polynomial.Step:3 ：Step 3: Therefore, the given expression is not a polynomial.

Answer

Step: 1 ：Step 1: Recall that a polynomial is an expression of the form (a_{n}x^{n} + a_{n-1}x^{n-1} + dots + a_{2}x^{2} + a_{1}x + a_{0}), where (a_{n}, a_{n-1}, dots, a_{2}, a_{1}, a_{0}) are constants and the exponents are non-negative integers.Step: 2 ：Step 2: Look at the given expression (5x^{2} + 3x^{-1} + 7) and notice that the second term (3x^{-1}) has a negative exponent. This is not allowed in a polynomial.Step: 3 ：Step 3: Therefore, the given expression is not a polynomial.

Determine whether the expression \(5x^{2} + 3x^{-1} + 7\) is a polynomial.

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