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23-03-2017
Mathematics

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

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23-03-2017

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

In other words,

[tex]\dfrac{x^4-2}{x+1}=x^3-x^2+x-1-\dfrac1{x+1}[/tex]

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