Construct a polynomial equation with real roots . The equation is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to construct a polynomial equation with a repeated root.
Key Concept Explanation
When a root has multiplicity greater than one, it appears multiple times in the factored form. For example, if a root has multiplicity , it appears times in the factored form.
Step-by-step Solution
1. Identify the given roots: .
2. Write the factors considering the multiplicity of the root :
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