How do you factor this expression completely:
X^3-2x^2+2x-1
The hint that the teacher gave us was that it was going to be a polynomial multiplied by (x-1) so basically you have to find that polynomial that is multiplied by (x-1) to get the original equation
X^3-2x^2+2x-1
The hint that the teacher gave us was that it was going to be a polynomial multiplied by (x-1) so basically you have to find that polynomial that is multiplied by (x-1) to get the original equation
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OK! Just divide
X^3-2x^2+2x-1 by x-1 which yields
x^2-x+1
X^3-2x^2+2x-1 by x-1 which yields
x^2-x+1
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(x - 1)(x^2 - x + 1)