Hi,

Using synthetic division: roots are: 1,-4, i,-i



x^4+3x^3-3x^2 +3x-4)/(x-1) = x^3 + 4x^2 + x + 4



1	1	3	-3	3	-4

		1	4	1	4

	1	4	1	1	0



(x^3 + 4x^2 + x + 4)/(x+4) = x^2+1, x^2+1 = 0 , x = ± i

-4	1	4	1	4

		-4	0	-4

	1	0	1	0

 

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