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

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asked Jun 10, 2018 102k views

1 Answer

Theillien · Answer 1 · 2018-06-17T11:18:09+0000

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

In other words,

$(x^4-2)/(x+1)=x^3-x^2+x-1-\frac1{x+1}$

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

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