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

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2. Polynomials

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

Option A

Option B

Option C

Option D

Solution

$6 x^{2}+5 x-6$

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) $

Standard 9

Mathematics

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