Answer to Question #305252 in Differential Geometry | Topology for Samsam

Question

The fourth-degree polynomial

f(x) = 230x⁴ + 18x³ + 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^-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).