Algebra-1

Question Analysis
This question tests the ability to write a fourth-degree polynomial equation from its roots and a given coefficient. It requires expanding the polynomial and ensuring the correct 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 example, if the roots are , , , and , the polynomial can be written as . The coefficient of the highest degree term can be used to determine the value of .

Step-by-step Solution
1. Start with the given roots: , , , and .
2. Write the polynomial as

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