Factorise: $3 x^{2} - x - 4$ .

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Solution

$3 x^{2} - x - 4 = 0$
$\Rightarrow 3 x^{2} - 4 x + 3 x - 4 = 0$
$\Rightarrow 3 x (3 x - 4) + 1 (3 x - 4) = 0$
$(x + 1) (3 x - 4) = 0$
$\Rightarrow x = - 1, \frac{4}{3}$

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