Algebra-2

Question Analysis
This question assesses the student's ability to find and classify the relative extrema of a polynomial function using the second derivative test.

Key Concept Explanation
The second derivative test is used to determine whether a critical point is a relative maximum, minimum, or neither by evaluating the second derivative at the critical point.

Step-by-step Solution
1. Find the first derivative: .
2. Set the first derivative equal to zero to find critical points: .
Factor: . So, (multiplicity 2),
3. Find the second derivative: .
4. Evaluate the second derivative at :

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