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 .

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.

.

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

Since there are sign changes in the the impossible number of negative zeros of polynomial function is . Hence, by Descartes**sign 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 .

Option **H** is right choice.

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