divide (x4-15x2-16)(x-44)^-1 because it is a negative exponent, it goes into the denominator.
x^4 - 15x^2 - 16 / x - 44
x^3 - 44x^2 +1921x + 84524
x - 44 | x^4 + 0x^3 - 15x^2 + 0x - 16
x^4 - 44x^3
- 44x^3 -15x^2
- 44x^3 + 1936x^2
+ 1921x^2 + 0x
+ 1921x^2 + 84524x
+ 84524x - 16
+ 84524x - 1352384
-1352400
answer is x^3 - 44x^2 +1921x + 84524 remainder -1352400/(x - 44)