Question

If 2x²+3x+1=(x+2)(2x-1)+m then m= ____. a) 3 b) -3 c)2 d) 0​

Answer 1

Answer:

2x^2 + 3x + 1 = (x+1)(2x+1)+m

==> 2x^2 + 3x+1 = 2x^2 + x + 2x + 1+ m

==> 2x^2 + 3x+1 = 2x^2 + 3x + 1 + m

==> m = 2x^2-2x^2 + 3x -3x + 1 - 1

==> m = 0

Answer 2

Answer:

m = 3

Step-by-step explanation:

Here, the given equation is:

   $2x^{2} + 3x+1=(x+2)(2x-1)+m$

⇒ $2x^{2} + 3x+1=2x^{2}-x+4x-2 +m$

⇒ $2x^{2} + 3x+1=2x^{2}+3x-2 +m$

⇒ $m = 1+2$

∴  $m=3$