If the polynomial has a root at , the multiplicity of this root is .
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's understanding of the multiplicity of roots in polynomials. The multiplicity of a root is determined by the number of times the corresponding factor appears in the factored form of the polynomial.
Key Concept Explanation
Multiplicity is crucial for understanding the behavior of polynomial functions, especially near their roots. It helps in predicting the shape of the graph.
Step-by-step Solution
1. Look at the factored form of the polynomial:
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