Algebra-1

Question Analysis
This question tests the ability to write a third-degree polynomial equation given its roots and a specific coefficient condition. It involves understanding the relationship between the roots and the polynomial's coefficients.

Key Concept Explanation
A polynomial equation with given roots can be written as the product of factors corresponding to each root. The coefficient of a specific term can be used to determine the leading coefficient of the polynomial.

Step-by-step Solution
1. Given roots: , , and
2. Write the polynomial in factored form:
3. Expand the factored form: