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The polynomial function is . \ \

The maximum number of real zeros of a polynomial function is equal to the degree of that polynomial function. \ \

So the maximum number of zeros of is . \ \

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Descartes rule of signs is useful for finding the maximum number of real zeros of the polynomial function. \ \

Descartes sign rule :The possible number of positive zeros of polynomial function is the number of sign changes of the coefficients of or that number minus even number. \ \

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Since there are sign changes in the the possible number of positive zeros of polynomial function is . \ \

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Since there are sign changes in the the impossible number of negative zeros of polynomial function is . Hence, by Descartessign rule, the maximum number of zeros is . \ \

Make a table of a possible combinations of real and imaginary zeros.

Number of postive real zeros	negative zeros	imaginary zeros	Total number of zeros

The maximum number of real zeros of is . \ \

Therefore the number of negative zero is . \ \

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Option H is right choice.