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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: 9x...

Question

Factorise:
$9 x^{2} - 3 x - 20$

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Solution

$9 x^{2} - 3 x - 20 = 9 x^{2} - 15 x + 12 x - 20 = 3 x (3 x - 5) + 4 (3 x - 5) = (3 x - 5) (3 x + 4)$

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