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

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Answer 1 · 2015-02-13T02:43:19

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

The following diagrams show step-by-step long division:
enter image source here

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

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