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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. ____
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Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. ____
- Identify Highest Power: Look at the polynomial and find the highest power of . The highest power of is .
- Apply Fundamental Theorem: According to the Fundamental Theorem of Algebra, a polynomial of degree has exactly complex roots, counting multiplicity.So, this polynomial should have complex roots.
- Verify Degree and Theorem: Check if the degree of the polynomial is correctly identified and if the Fundamental Theorem of Algebra is applied correctly.Degree identified: Theorem applied correctly: Yes
