Question 267032
we can solve this with polynomial division, but might be a bit messy.
 . . . . . . . . . . h^2 . . . . . .(-4)h
(2h+3) // . . .2h^3 . . . . . -5h^2 . . . . . 22h
 . . . . . . . . . . 2h^3 . . . . . .+3h^2
draw the line and change the sign to get
 - - - - - - - - - - - - - -(-8h^2) . . . .22h
 . . . . . . . . . . . . . . . . . . . .(-8h^2) . . (-12)h
draw the line and change the sign to get
 - - - - - - - - - - - - - - - - - - - - - - 34h
our final answer is

(2h+3) * (h^2 - 4h) + 34h/(2h+3)