Construct a polynomial equation with real roots . The equation is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of constructing a polynomial equation with a repeated root.
Key Concept Explanation
When a root has a multiplicity greater than one, it appears multiple times in the factored form. For a root with multiplicity , the factor is .
Step-by-step Solution
1. Identify the given roots: (note that 2 has a multiplicity of 2)
2. Write the factors corresponding to each root:
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