Determine the possible number of positive real roots for the polynomial . The number of sign changes in the sequence of coefficients is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to count the number of sign changes in a polynomial's coefficients to determine the possible number of positive real roots.
Key Concept Explanation
Descartes' Rule of Signs states that the number of positive real roots is equal to the number of sign changes in the sequence of coefficients, or less than that by a multiple of 2.
Step-by-step Solution
1. Write down the polynomial:
2. Identify the sequence of coefficients:
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