Question

How do you long divide `(x^3-3) div (x+1)`?

Answer 1

Note that `(x^3 - 3)` can be written as
`(x^3 + 0x^2 + 0x -3)`

The following diagrams show step-by-step long division:

So `(x^3 - 3) -: (x + 1) = (x^2 -x +1) R(-4)`