3x^2 + x 4 Splitting the middle tram 3x^2 3x + 4x 4 ⇒ #160; 3x (x 1) + 4 (x 1) ⇒ #160; (3x + 4) (x 1) ...

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Factorising a Binomial

Factorise : ...

Question

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

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Solution

$3 x^{2} + x - 4$
Splitting the middle tram
$3 x^{2} - 3 x + 4 x - 4$
$\Rightarrow 3 x (x - 1) + 4 (x - 1)$
$\Rightarrow (3 x + 4) (x - 1)$

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3 x^{2} - x - 4

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