Factorise the following by splitting the middle terms:

f) $3 x^{2} + 19 x - 14$

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Solution

Given: $3 x^{2} + 19 x - 14$
By splitting the middle term, we get,
$= 3 x^{2} + 21 x - 2 x - 14$
$= 3 x (x + 7) - 2 (x + 7)$
$= (x + 7) (3 x - 2)$
Hence, the answer is $(x + 7) (3 x - 2)$ .

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