Consider the polynomial . The root has a multiplicity of .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to determine the multiplicity of a root in a given polynomial. The multiplicity of a root is the number of times the corresponding factor appears in the factored form.
Key Concept Explanation
Multiplicity is a key concept in understanding the behavior of polynomial functions, particularly how the graph behaves near the roots.
Step-by-step Solution
1. Examine the factored form of the polynomial:
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