Algebra-2

Question Analysis
This question applies the concept of solving polynomial equations by graphing to a real-world context. The polynomial models the displacement of an object over time, and the x-intercepts represent the times when the object returns to its starting position.

Key Concept Explanation
The roots of the polynomial equation are the times at which the displacement is zero. For a cubic polynomial, there can be up to three real roots, and the multiplicity of the root affects the behavior of the graph at the x-intercept.

Step-by-step Solution
1. Graph the function

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