7. The fourth-degree polynomial f(x) = 230x* + 18x + 9x? – 221x -9 has two real zeros, one in [-1,0] and the other in [0, 1]. Attempt to approximate these zeros to within 10-using the a. Secant method

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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7. The fourth-degree polynomial
f(x) = 230x* + 18x + 9x? - 221x - 9
has two real zeros, one in [-1,0] and the other in [0, 1]. Attempt to approximate
these zeros to within 10-using the
a. Secant method
b. Newton's method
c. Horner method
Use the endpoints of each interval as the initial approximations in (a) and the
midpoints as the initial approximation in (b).
Transcribed Image Text:7. The fourth-degree polynomial f(x) = 230x* + 18x + 9x? - 221x - 9 has two real zeros, one in [-1,0] and the other in [0, 1]. Attempt to approximate these zeros to within 10-using the a. Secant method b. Newton's method c. Horner method Use the endpoints of each interval as the initial approximations in (a) and the midpoints as the initial approximation in (b).
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