Answer:
We can use long division to divide (x3 − 5x2 − 16x + 20) by (x − 4) as follows:
x^2 + 3x - 4
_________________________
x - 4 | x^3 - 5x^2 - 16x + 20
- (x^3 - 4x^2)
________________
- x^2 - 16x
+ (x^2 - 4x)
________________
- 12x + 20
+ (-12x + 48)
________________
68
Therefore, (x3 − 5x2 − 16x + 20) ÷ (x − 4) = x^2 + 3x - 4 with a remainder of 68.