Problem 126 of 7
Explain why the Fundamental Theorem of Algebra requires complex numbers in degree n polynomial root count.
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connect complete root count to complex root system.
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Explanation must connect complete root count to complex number system.
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Solution
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1. Name a polynomial lacking enough real roots.
2. Show complex roots complete the count.
3. State FTA over complex numbers.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying FTA is about only real x-intercepts.