Given that the roots of a polynomial are and , the polynomial can be written as . If the coefficient of the first-degree term is 2, find the value of .
Answer & Analysis
Analysis
Question Analysis
This question assesses the ability to determine the leading coefficient given the roots and a specific coefficient.
Key Concept Explanation
The polynomial can be expressed as . By expanding and comparing coefficients, we can find the value of .
Step-by-step Solution
1. Identify the roots: and .
2. Write the factors: and .
3. Form the polynomial:
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