Use Newton's method to find all the roots of the equation correct to eight decimal places. Use Newton's method to find all the roots of the...

Using a
graph we get approximations for the 4 real zeros: -2.2,-1,1,3.2

Note that
`f'(x)=6x^5-5x^4-28x^3-2x+1`

Newtons method begins with a "guess",
`x_1` , and then generates a new "guess" by `x_n=x_(n-1)-(f(x_n))/(f'(x_n))`

(1) Let `x_1=-2.2`

`x_2=-2.2-(1.897024)/(-122.80192)=-2.184552163`

`x_3=-2.184552163-.059782097192/-115.10915551=-2.184032812`

`x_4=-2.184032812-.0000659453474/-114.85541759=-2.184032238`