Find the approximations to within 10−4 to all the real zeros of the following polynomials using Newton's method.
a. f (x) = x3 − 2x2 − 5
b. f (x) = x3 + 3x2 − 1
c. f (x) = x3 − x − 1
d. f (x) = x4 + 2x2 − x − 3
e. f (x) = x3 + 4.001x2 + 4.002x + 1.101
f. f (x) = x5 − x4 + 2x3 − 3x2 + x - 4