Question

Use long division to divide.
(x3 − 5x2 − 16x + 20) ÷ (x − 4)

Answer 1

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.