The fourth-degree polynomial f(x) = 230x 4 + 18x 3 + 9x 2 − 221x − 9 has two real zeros, one in [−1, 0] and the other in [0, 1]. Attempt to approximate these zeros to within 10−2 using the (a) Secant method(Use the endpoints of each interval as the initial approximations), (b) Newtons method(Use the midpoints of each interval as the initial approximation)
The fourth-degree polynomial f(x) = 230x 4 + 18x 3 + 9x 2 − 221x − 9 has two real zeros, one in [−1, 0] and the other in [0, 1]. Attempt to approximate these zeros to within 10−2 using the (a) Secant method(Use the endpoints of each interval as the initial approximations), (b) Newtons method(Use the midpoints of each interval as the initial approximation)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 14T
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Question
The fourth-degree polynomial
f(x) = 230x
4 + 18x
3 + 9x
2 − 221x − 9
has two real zeros, one in [−1, 0] and the other in [0, 1]. Attempt to approximate these zeros to within
10−2 using the
(a)
Secant method(Use the endpoints of each interval as the initial approximations),
(b)
Newtons method(Use the midpoints of each interval as the initial approximation)
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