4x2 +12x+44 (quotient)
x2-3x-2 ) 4x4 +5x -4
4x4-12x3- 8x2 (subtract)
12x3+ 8x2+ 5x
12x3-36x2- 24x (subtract)
44x2+ 29x - 4
44x2-132x- 88 (subtract)
161x+84 (remainder)
CHECK
(x2-3x-2)(4x2 +12x+44)+161x+84=
4x4+12x3+44x2
-12x3 -36x2-132x
- 8x2 - 24x-88 +
161x+84 = 4x4+5x-4✔️