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x^3-1/2x^2 +5/4x -5/2
---------------------------------------------
x^4 + x^2 + 1 :(x+1/2)
-(x^4 +1/2x^3)
-------------------------------------------
==== x^2 - 1/2x^3 + 1
-(-1/4x^2 - 1/2x^3)
-----------------------------------------------------------
====5/4x^2 + 1
- (5/4x^2 +5/2x)
--------------------------------------------
=========-5/2x +1
- (-5/2x - 5)
---------------------------------
============== 6
(x^4 + x^2 +1 ) : (x+1/2) = x^3 - 1/2x^2 + 5/4x - 5/2 Reszta = 6