I know this is very simple for some but i find it hard to get the roots, so please bear with me and help me. Thank you.
x^3 - 2x2 + 1 = 0.
well, one way is to graph
y=x^3-2x^2+1 and look at the roots.
another way is to factor.
by inspection x=1 is a root, so divide by x-1 to get the remaining polynomial
(x^3-2x^2+0x+1)/(x-1) and I get by long division x^2-x-1, and that can be factored by the quadratic equation.posted by bobpursley