Algebra-2

Question Analysis
This question tests the student's ability to solve a cubic polynomial equation by finding the x-intercepts of its graph. The equation is given in standard form, and the student must factor it or use synthetic division to determine the roots.

Key Concept Explanation
The key concept is that the solutions to a polynomial equation are the x-intercepts of the graph of the corresponding polynomial function. For a cubic equation, these x-intercepts can be found by factoring, using synthetic division, or graphing.

Step-by-step Solution
1. Start with the given equation:
2. Use the Rational Root Theorem to test possible rational roots:
3. Factor the cubic equation:
4. Set each factor equal to zero:

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