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Scalar Triple Product

Factories:12 ...

Question

Factories:

$12 x^{2} - 25 x + 12$

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Solution

$12 x^{2} - 25 x + 12$
$= 12 x^{2} - 16 x - 9 x + 12$ [ $∵ - 25 x = - 16 x - 9 x$ , Product of coefficient of $x^{2}$ and constant term $= 12 \times 12 = 144 = 16 \times 9$ ]
$= 4 x (3 x - 4) - 3 (3 x - 4)$
$= (4 x - 3) (3 x - 4)$

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{12 x}^{2} + 25 x + 12 = 0

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