# Algebra

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.

1. x^3-2x^2+0x+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

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