Algebra-2

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

Key Concept Explanation
The key concepts involved are the first and second derivative tests for determining the nature of critical points.

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