Answer:
x4+7x3-2x2-9x-3 remainder -10
or we could write it as
x4+7x3-2x2-9x-3 - 10/(x+8)
Explanation:
x+8 ) x5+15x4+54x3−25x2−75x−34 (x4+7x3-2x2-9x-3 <--- Quotient.
 x5+ 8x4
 7x4+54x3
 7x4+56x3
 -2x3-25x2
 -2x3-16x2
 -9x2-75x
 -9x2-72x
 -3x-34
 -3x-24
 -10 <--- Remainder.