Determine whether the following function is a polynomial fun

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. f(x) = 4x+x^3 Determine whether f(x) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. It is not a polynomial because the variable x is raised to the power, which is not a nonnegative integer. (Type an integer or a fraction.) It is a polynomial of degree (Type an integer or a fraction.) It is not a polynomial because the constant term is absent.

Solution

Yes , It is a polynomial and it has degree of 3 (Highest power of the x here is 3)

Option B is correct

It is a polynomial of degree 3