2. Polynomials
easy

અવયવ પાડો : $2 x^{2}+7 x+3$

Option A
Option B
Option C
Option D

Solution

$2 x^{2}+7 x+3$ ને $a x^{2}+b x+c$ સાથે સરખાવતા $a =2,\, b =7$ $c =3$

હવે $l+m=b=7$ અને $l m=a c=2 \times 3=6$

$\therefore 1+6=7$ અને $1 \times 6=6$

$l=1$ અને $m=6$

$b=7=1+6$

હવે $2 x^{2}+7 x+3=2 x^{2}+x+6 x+3$

$=x(2 x+1)+3(2 x+1)$

$=(2 x+1)(x+3)$

આમ, $2 x^{2}+7 x+3=(2 x+1)(x+3)$

Standard 9
Mathematics

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