If x^g+ ¹/_xa is a polynomial in one variable and if it's given that g = a, for what value of 'a' is this a polynomial?

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Solution

it will be a polynomial for a = 0,
as then the value of the expression becomes 2 which is a zero degree polynomial.

for all other values of a the expression would have a term with negative degree, which cannot be a polynomial term.

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