Determine whether the function is a polynomial function. If it is, identify the degree. \( f(x)=5 x^{2}+2 x^{7} \) Choose the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It a polynomial. The degree of the polynomial is B. It not a polynomial.

A. It is a polynomial. The degree of the polynomial is 7. This is because the highest exponent in the function \( f(x) = 5x^{2} + 2x^{7} \) is 7, which comes from the term \( 2x^{7} \). Polynomial functions can include terms with whole number exponents, which is exactly what we see here!