Factorise the following by splitting the middle terms:
h) $12 + x - 6 x^{2}$

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Solution

Given: $12 + x - 6 x^{2}$
By splitting the middle term, we get,
$= 12 + 9 x - 8 x - 6 x^{2}$
$= 3 (4 + 3 x) - 2 x (4 + 3 x)$
$= (4 + 3 x) (3 - 2 x)$
Hence, the answer is $(4 + 3 x) (3 - 2 x)$ .

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