divide (x^3 - 20x + 16) ÷ (x -4)

To divide (x^3 - 20x + 16) by (x - 4), we can use long division. Here's the step-by-step process:

x^2 + 4x - 4
___________________
x - 4 | x^3 - 20x + 16
- (x^3 - 4x^2)
_______________
- 16x + 16
- (- 16x + 64)
_______________
- 48

The quotient of (x^3 - 20x + 16) ÷ (x - 4) is x^2 + 4x - 4 and the remainder is -48.