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 given its real roots, including roots with multiplicity.
Key Concept Explanation
To construct a polynomial equation with given real roots, we use the factored form where each root corresponds to a factor. If a root has multiplicity , it appears times in the factored form. For roots , the polynomial equation is .
Step-by-step Solution
1. Identify the given roots:
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