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?

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

Only when n is a positive integer.

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

When is the expression \[f(x)={{a}_{0}}{{x}^{n}}+{{a}_{1}}{{x}^{n-1}}+

1.	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.
Answer» C. If n is a positive integer and\[{{a}_{0}}\ne 0.\]

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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?

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