If a polynomial with real coefficients has a root of , then the other root is .
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's understanding of the Conjugate Root Theorem and their ability to identify the conjugate of a given complex root.
Key Concept Explanation
The Conjugate Root Theorem states that if a polynomial with real coefficients has a complex root , then its conjugate is also a root. This theorem is essential for finding all roots of a polynomial when some roots are known to be complex.
Step-by-step Solution
1. Identify the given root:
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