Question

Solve :
$\left(2m^3+m^2+m+9\right)÷\left(2m-1\right)$

Answer 1

Given: $(2m^3+m^2+m+9)÷(2m-1)$

$m^2+m+1$

__________________

$(2m-1))$ $2m^3+m^2+m+9$

$2m^3-m^2$

__________________

$2m^2+m+9$

$2m^2-m$

_______________

$2m+9$

$2m-1$

____________

$10$

$\therefore (2m^3+m^2+m+9)=(2m-1)(m^2+m+1)+10$.