Answer:
The local maximum is (-0.667, 2.074) and the local minimum is (0.4, -0.96).
Step-by-step explanation:
The graph for the function P(x) = 5x^3 + 2x^2 - 4x is
Then, the local minima and maxima are the points where the graph has a minimum or maximum in a given interval.
In this case, it has a local maximum at x = -0.667 and a local minimum at x = 0.4
Therefore, the local maximum is (-0.667, 2.074) and the local minimum is (0.4, -0.96).