If a polynomial with real coefficients has a root of , then the other root is .
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's understanding of the Conjugate Root Theorem, which states that if a polynomial with real coefficients has a complex root, its conjugate must also be a root.
Key Concept Explanation
The Conjugate Root Theorem ensures that non-real roots of polynomials with real coefficients occur in conjugate pairs. If is a root, then must also be a root.
Step-by-step Solution
1. Identify the given root: .
2. Apply the Conjugate Root Theorem: The conjugate of
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