question_answer

When is the expression \[f(x)={{a}_{0}}{{x}^{n}}+{{a}_{1}}{{x}^{n-1}}+{{a}_{2}}{{x}^{n-2}}+....+{{a}_{n-1}}x+{{a}_{n}}\]a polynomial of degree n?

A)  Only when n is a positive integer.

B)            If n is a negative integer and \[{{a}_{n}}\ne 0.\]

C)            If n is a positive integer and\[{{a}_{0}}\ne 0.\]

D)            If n is any integer.