Factorise: $15 x^{2} - x - 28$

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Solution

The given expression $15 x^{2} - x - 28$ can be factorised as follows:

$15 x^{2} - x - 28 = 15 x^{2} - 21 x + 20 x - 28 = 3 x (5 x - 7) + 4 (5 x - 7) = (3 x + 4) (5 x - 7)$

Hence, $15 x^{2} - x - 28 = (3 x + 4) (5 x - 7)$

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