Answer:
(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208 R 832 (or + 832/(x-4))
Explanation:
x-4=0 x=4
x⁴ x³ x² x¹ x⁰
4 | 1 0 -4 4 0 0
| 4 16 48 208 832
_______________________
1 4 12 52 208 832
(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208 R 832