Given the polynomial , the possible number of negative real roots, according to Descartes' Rule of Signs, is .
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's understanding of applying Descartes' Rule of Signs to determine the possible number of negative real roots of a polynomial.
Key Concept Explanation
To find the number of negative real roots, we need to count the sign changes in the sequence of coefficients of the polynomial when the variable is replaced by .
Step-by-step Solution
1. Substitute into the polynomial:
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