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Expansion of (a ± b ± c)²

Using factor ...

Question

Using factor theorem, factorize $x^{3} - 3 x^{2} - x + 3$

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Solution

$x^{3} - 3 x^{2} - x + 3$

$x^{2} (x - 3) - 1 (x - 3)$

$(x - 3) (x^{2} - 1)$

$(x - 3) (x - 1) (x + 1)$

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