Chapter 1.4, Problem 10CP

Set $f\left(x\right)=54x^6+45x^5-102x^4-69x^3+35x^2+16x-4$ . Plot the function on the interval $\left[-2,2\right]$ , and use Newton’s Method to find all five roots in the interval. Determine for which roots Newton converges linearly and for which the convergence is quadratic.