If a polynomial with real coefficients has a root of , then the other root is .
Answer & Analysis
Analysis
Question Analysis
This problem tests the understanding of the Conjugate Root Theorem, which states that if a polynomial with real coefficients has a complex root, its conjugate is also a root.
Key Concept Explanation
The Conjugate Root Theorem ensures that for a polynomial with real coefficients, if is a root, then must also be a root. This is because the coefficients are real, and the polynomial must have real coefficients in all terms.
Step-by-step Solution
1. Identify the given root:
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