Factorise : $6 x^{2}+5 x-6$
Factorise : $6 x^{2}+5 x-6$
$6 x^{2}+5 x-6$
We have, $a =6, b =5$ and $c =-6 $
$\therefore$ $l+ m=5$ and $lm = ac =6 \times(-6)=-36 $
$\therefore$ $l+ m =9+(-4) $
$\therefore$ $6 x ^{2}+5 x -6 =6 x ^{2}+9 x -4 x -6$
$=3 x (2 x +3)-2(2 x +3)=(2 x +3)(3 x -2)$
Thus, $6 x ^{2}+5 x -6 =(2 x +3)(3 x -2) $
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