Answer to Question #60686 in Math for esita

Question

3. a) Find all the roots of the polynomial 0 x 6x 11x 6
3 2
− + − = by the Graeffe’s root squaring
method using three squarings. (7)
b) Find the constants α, β and γ in the method
[ ] ( ) ( ) ( 2 )
1
( ) f x f x h f x h
h
f x ′
k = α k + β k + + γ k +
so that it is of maximum order. Find the values of h s.t.
max|round off error| = max |TE | .