Algebra-1

Question Analysis
This question tests the ability to write a third-degree polynomial equation given its roots and a specific coefficient, which involves more complex algebraic manipulation.

Key Concept Explanation
If the roots of a polynomial equation are known, the equation can be expressed as . Expanding this product and adjusting for the given coefficient gives the standard form of the polynomial equation.

Step-by-step Solution
1. Identify the roots: , , and
2. Write the factors: , , and
3. Form the initial equation:
4. Expand the initial equation:

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