Algebra-2

To determine the possible number of positive and negative roots for the polynomial  using Descartes' Rule of Signs:

Step 1: Analyzing Positive Roots

1. Look at the coefficients of : , , and .

2. Count sign changes:

From  to , there is no sign change as both are positive.

From  to , there is one sign change (positive to negative).

3. Total sign changes for positive roots is .

4. According to Descartes' Rule of Signs, the number of positive roots can be .

Step 2: Analyzing Negative Roots

1. Calculate :

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