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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 of x: Look at the highest power of in the polynomial , which is .
- Apply Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree has exactly complex roots, counting multiplicity.
- Determine number of complex roots: Since the degree of the polynomial is , the number of complex roots is also .
