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Tell the number of positive zeros that the polynomial function may have. T f(x)=4x^9+5x^8+4x^6+9x+1

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The number of positive zeros of the polynomial f(x) = 4x⁹ + 5x⁸ + 4x⁶ + 9x + 1 is 3

How to determine the number of positive zeros that the polynomial function may have.

From the question, we have the following parameters that can be used in our computation:

f(x) = 4x⁹ + 5x⁸ + 4x⁶ + 9x + 1

Differentiate the function

So, we have

f'(x) = 36x⁸ + 40x⁷ + 24x⁵ + 9

There are 4 positive signs in the above

This means that the number of positive zeros of the polynomial is 4 - 1.

Hence, the number of positive zeros of the polynomial is 3

User Michael Ozeryansky
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