Algebra-1

Question Analysis
This question tests the ability to write a third-degree polynomial equation from its roots and a given coefficient for the second-degree term, which requires understanding of polynomial structure and solving for the leading coefficient.

Key Concept Explanation
If the roots of a polynomial are known, the polynomial can be written as the product of factors corresponding to each root. For a third-degree polynomial, the general form is , where , , and are the roots, and is the leading coefficient. The coefficient of the second-degree term can be used to solve for .

Step-by-step Solution
1. Identify the roots: , , and .
2. Write the polynomial as the product of factors: .
3. Expand the product step-by-step: First, expand .
4. Next, multiply the result by

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