Determine the possible number of negative real roots for the polynomial . First, find the polynomial with the variables replaced by their negatives, , then count the number of sign changes in the sequence of coefficients. The number of sign changes is 0.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to apply Descartes' Rule of Signs to determine the possible number of negative real roots of a polynomial.
Key Concept Explanation
According to Descartes' Rule of Signs, the number of negative real roots is equal to the number of sign changes in the sequence of coefficients of the polynomial with the variables replaced by their negatives, or less than that by a multiple of 2.
Step-by-step Solution
1. Write down the polynomial:
2. Replace each variable with :
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.