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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: 21...

Question

Factorise:
$21 x^{2} + 5 x - 6$

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Solution

Now,

$21 x^{2} + 5 x - 6 = 21 x^{2} + (14 - 9) x - 6 = 21 x^{2} + 14 x - 9 x - 6 = 7 x (3 x + 2) - 3 (3 x + 2) = (3 x + 2) (7 x - 3)$

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