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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. ____
- Degree of the Polynomial: The degree of the polynomial is , because the highest power of is .
- Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree has exactly complex roots, counting multiplicity.
- Complex Roots: Therefore, the polynomial has complex roots.
