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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 Polynomial Degree: Look at the polynomial and find the highest power of , which is . This is the degree of the polynomial.
- 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 our polynomial is , it must have complex roots.
