Determine the possible number of negative real roots for the polynomial . First, find the polynomial with the variables replaced by their negatives, .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to substitute into a polynomial and then count the number of sign changes to determine the possible number of negative real roots.
Key Concept Explanation
To find the number of negative real roots, replace with in the polynomial and then count the sign changes in the new sequence of coefficients.
Step-by-step Solution
1. Write down the original polynomial:
2. Substitute for :
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