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 from given real roots, including handling 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 that many times in the factored form.
Step-by-step Solution
1. Identify the given roots and their multiplicities: (multiplicity 3) and .
2. Write the factors corresponding to each root: and
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