Use Newton Raphson method to find the zero of f

 
1) f(x) = x^3 - 3x -1            x=1   x=2

A. Show that f has a zero between x=1 and x=2.

B. Use Newton Raphson method to find the zero of f.

2) Use Newton’s method to find the negative fourth root of 2 by solving the equation

x^4-2=0 Start with x0 = -1 and find x2.

Please so all work and steps.

3) use long division to simplify the quotient, and support your answer graphically

(x^4-3x^3+6x^2-3x+5)/(x^2+1)