we have
5x^4-3x^3+4 : (x+1)
5x^3-8x^2+8x-8
-5x^4-5x^3
-----------------
-8x^3+4
8x^3+8x^2
8x^2+4
-8x^2-8x
---------------
-8x+4
8x+8
---------
4
therefore
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