Question

what are the roots to this polynomial x3-6x2+7x-2

Answer 1

so that the roots are
x = 1
x = 0.4384
and
x = 4.5616

Answer 2

(x-1)(x^2-5x+2)
So 1 is a root.
other roots are,
(5+sqrt(17))/2 and (5-sqrt(17))/2