Question

if alpha and beta are zeroes of the polynomial x^2-5x+6 the find alpha ^3-beta^3​

Answer 1

Answer:

as  alpha ^3-beta^3​ =(-β)(α²+β²+αβ)

or calc α and β by quadratic formula.

we get α= 3 and β= 2

alpha ^3-beta^3​ = 3³-2³

                      =  27-8

                        19