Factorize the following:
$x^{3} - 3 x^{2} + x - 3$

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Solution

We need to factorise $x^{3} - 3 x^{2} + x - 3$
Here we will apply method of taking common terms.
Thus $x^{3} - 3 x^{2} + x - 3 = x^{2} (x - 3) + 1 (x - 3) = (x - 3) (x^{2} + 1)$
Thus factors are $(x - 3) (x^{2} + 1)$ .

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