Question

If alpha and beta are the zeroes of the polynomial x²-6x+8, find alpha-beta (alpha>beta).

Answer 1

=x^2 -6x +8
=x^2 -2x -4x +8
=x(x-2) -4(x-2)
=(x-4) (x-2)
=x =4 , 2
alpha>beta
alpha =4
beta =2