If a polynomial with real coefficients has a root of , then the other root must be .
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 non-real roots of polynomials with real coefficients always occur in conjugate pairs. If is a root, then is also a root.
Step-by-step Solution
1. Identify the given root:
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.