Identify the possible rational roots of the polynomial . List all possible rational roots: .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to list possible rational roots using the Rational Root Theorem.
Key Concept Explanation
The Rational Root Theorem states that any rational root, expressed in lowest terms, must be a factor of the constant term divided by a factor of the leading coefficient.
Step-by-step Solution
1. Identify the constant term and the leading coefficient: and .
2. List the factors of the constant term: .
3. List the factors of the leading coefficient:
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