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2. Polynomials
easy
અવયવ પાડો : $6 x^{2}+5 x-6$
Option A
Option B
Option C
Option D
Solution
$6 x^{2}+5 x-6$ ને $a x^{2}+b x+c$ સાથે સરખાવતા $a =6,\, b =5$ $c =-6$
હવે $l+m=b=5$ અને $l m=a c=6 \times-6=-36$
$\therefore l+m=9+(-4)$
$\therefore 9+(-4)=5$ અને $9 \times(-4)=-36$
હવે $6 x^{2}+5 x-6 =6 x^{2}+9 x-4 x-6 $
$=3 x(2 x+3)-2(2 x+3)$
$=(2 x+3)(3 x-2)$
આમ, $6 x^{2}+5 x-6=(2 x+3)(3 x-2)$
Standard 9
Mathematics
