Factorise the following by splitting the middle terms:
b) $x^{2} - 11 x + 24$

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Solution

Given: $x^{2} - 11 x + 24$
By splitting the middle term, we get,
$= x^{2} - 8 x - 3 x + 24$
$= x (x - 8) - 3 (x - 8)$
$= (x - 8) (x - 3)$
Hence, the answer is $(x - 8) (x - 3)$ .

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