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Discuss a DiscoveR: Possible Number of Local Extrema Is it possible for a third-degree polynomial to have extrema one local extremum? Can a fourth-degree polynomial have exactly two local extrema? How many local extrema can polynomials of third, fourth, fifth, and sixth degree have? (Think about the end behavior of such polynomials.) Now give an example of a polynomial that has six local extrema. | Numerade
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