How do you factor $x^{3} - x^{2} + x - 1$ $x^3-x^2+x-1$ ?

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How do you factor $x^{3} - x^{2} + x - 1$ $x^3-x^2+x-1$ ?

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Answer 1 · 2015-05-05T16:45:30

$(x - 1) (x + i) (x - i)$ $(x-1)(x+i)(x-i)$

Rewrite as $x^{3} + x - x^{2} - 1 = x (x^{2} + 1) - (x^{2} + 1) = (x - 1) (x^{2} + 1) = (x - 1) (x + i) (x - i)$ $x^3+x-x^2-1=x(x^2+1)-(x^2+1)=(x-1)(x^2+1)=(x-1)(x+i)(x-i)$

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How do you factor $x^{3} - x^{2} + x - 1$ $x^3-x^2+x-1$ ?

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