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Question

If xg+1xa is a polynomial in one variable, what could be the value of ′a′?


A

only 1

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B

any positive integer

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C

any negative integer

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D

any integer

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Solution

The correct option is C

any negative integer


For an expression to be a polynomial, the exponents of x should be whole numbers. The above expression can be written as xg+xa For this to be a polynomial, a should be a whole number. This is possible if a is a non-positive integer.


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