Factor the following:

(x^4-x^3-x+1) / (x^2-2x+1) ...

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- Feb 24th 2011, 12:23 AMKalodaFactoring?
Factor the following:

(x^4-x^3-x+1) / (x^2-2x+1) ... - Feb 24th 2011, 12:43 AMchisigma
It is easy to see that...

$\displaystyle \displaystyle x^{4}-x^{3}-x+1= (x-1)\ (x^{3}-1) = (x-1)^{2}\ (x^{2}+x+1)$

$\displaystyle \displaystyle x^{2}-2 x+1= (x-1)^{2}$

... so that...

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$