Factorize:
$x^{2} - 23 x + 108$

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Solution

Given equation is $x^{2} - 23 x + 108$
It can be factorised as
$x^{2} - 23 x + 108 = x^{2} - 27 x + 4 x + 108$
$= x (x - 27) + 4 (x - 27)$
$= (x - 27) (x + 4)$
Thus factors are $(x - 27), (x + 4)$ .

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