If a x n is a zero degree polynomial in x , what can be said about a ? Options: A . &nbspa is negative integer always B . &nbspa is 1 always C . &nbspa is 0 always D . &nbspa is non zero

If axn is a zero degree polynomial in x, what can be said about a?

Question

a x^{n}

is a zero degree polynomial in

x

, what can be said about

a

Options:

A . a is negative integer always

B . a is 1 always

C . a is 0 always

D . a is non zero

Answer: Option D
:
D
A zero degree polynomial is essentially a constant.i.e.,any non-zero real number.
So, if

a x^{n}

is a zero degree polynomial, then

a x^{n}

a x^{0}

= a
So, n has to be zero, and

a

should not be zero.

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