Consider the polynomial . According to the Fundamental Theorem of Algebra, this polynomial has exactly roots, counting multiplicities.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of the Fundamental Theorem of Algebra, specifically the relationship between the degree of a polynomial and the number of its roots.
Key Concept Explanation
The Fundamental Theorem of Algebra states that a polynomial of degree has exactly roots, counting multiplicities. This means that for a polynomial of degree 6, there will be exactly 6 roots.
Step-by-step Solution
1. Identify the degree of the polynomial
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