(a) The cubic function has three distinct zeros: 0, 2, and
Chapter 3, Problem 3.804(choose chapter or problem)
(a) The cubic function has three distinct zeros: 0, 2, and 6. Graph and its tangent lines at the average of each pair of zeros. What do you notice? (b) Suppose the cubic function has three distinct zeros: , , and . Prove, with the help of a computer algebra system, that a tangent line drawn at the average of the zeros intersects the graph of at the third zero.
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