Newton's Method to Approximate the Zero(s) of the Function $f ( x ) = x ^ { 5 } + 4 x + 1$

Multiple Choice

Newton's Method to approximate the zero(s) of the function $f ( x ) = x ^ { 5 } + 4 x + 1$ accurate to three decimal places.

A) $0.250$
B) $- 0.250$
C) $- 0.292$
D) $0.281$
E) $0.197$