Use a root-finding application to find the zeros of P1(x),
Chapter 6, Problem 50E(choose chapter or problem)
Use a root-finding application to fin the zeros of \(P_{1}(x), P_{2}(x), \ldots, P_{7}(x)\). If the Legendre polynomials are built-in functions of your CAS, fin zeros of Legendre polynomials of higher degree. Form a conjecture about the location of the zeros of any Legendre polynomial \(P_{n}(x)\), and then investigate to see whether it is true.
Text Transcription:
P_1(x),P_2(x),ldots,P_7(x)
P_n(x)
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