Exercise 4.27. 1. Sketch the graph of a polynomial which has exactly two local maximum values, one local minimum value and three zeros. Hint: Think about what the multiplicity of at least one of the zeros has to be. 2. Find an equation for the polynomial found in part (a).

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.