Is the algebraic expression a​ polynomial? If it​ is, write the polynomial in standard form.

Question

4x^4+3x^-1 -2

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 blank.

B. ​No, the expression is not a polynomial.

Answer 1

A polynomial is an algebraic expression that consists of terms with non-negative integer exponents. In the expression \(4x^4 + 3x^{-1} - 2\), the term \(3x^{-1}\) contains a negative exponent, which disqualifies the expression from being a polynomial.

Therefore, the correct choice is:

B. ​No, the expression is not a polynomial.