I need help revising this. Not sure what it's called and would love help on solving and naming what it is so that i can google/youtube about it and start revising (hopefully).

Consider the equationx.^{3}- 3x^{2}+ 2 = 0

- By presenting a suitable graph, state how many real solutions there are to this equation, and define them very roughly from the graph (to about 1 dp).

- Perform 5 iterations of the Newton-Raphson method by hand, to find the solution of the above equation
xstarting from the point^{3}- 3x^{2}+ 2 = 0x. Complete the following table, using 4 decimal places of accuracy for each entry in the table._{0}

(n) iterations x_{n}f(x_{n})(df(x)) /_{n}dx( |x _{n}- x_{n-1 |}) / x_{n}0 2.5 1 2 3 4 5