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How do I factor x^2-2x+1?
Please explain this? My teacher left barely sufficient notes on the board.
Well, if you could factor it, you would want to pu it in the form
(x +A ) ( x + B) = x^2 - 2x + 1
That means that AB = 1 and (A+B)x = -2x
Try A = -1 and B = -1
That works
It is usually a process of trial and error, although the quadratic formula does give you a recipe to find the roots without any guess work.
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