Question

Using synthetic division, find (x^4 − 2) ÷ (x + 1).

Answer 1

-1 | 1 ... 0 ... 0 ... 0 ... -2
... | ...... -1 .. 1 ... -1 ... 1
-------------------------------
... | 1 ... -1 .. 1 ... -1  |  -1

In other words,

$\dfrac{x^4-2}{x+1}=x^3-x^2+x-1-\dfrac1{x+1}$