The fourth-degree polynomial f (x) = 230x4 + 18x3 + 9x2 221x 9 has two real zeros, one

Chapter 2, Problem 17

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The fourth-degree polynomial f (x) = 230x4 + 18x3 + 9x2 221x 9 has two real zeros, one in [1, 0] and the other in [0, 1]. Attempt to approximate these zeros to within 106 using the a. Method of False Position b. Secant method c. Newtons method Use the endpoints of each interval as the initial approximations in (a) and (b) and the midpoints as the initial approximation in (c).

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