Hi

f(x)= x^4+x^3-8x^2-9x-9, x = ± 3 are roots (81+27-72-27-9) = 0 And( (81-27-72+ 27-9)= 0

Using Synthetic Division

3	1	1	-8	-9	-9

		3	12	12	9

	1	4	4	-3	0  and again

-3		-3	-3	3	

	1	1	1	0	

(x-3)(x+3)(x^2 + x + 1)

.......

x^2 + x + 1  has imaginary roots

 

 

-.5 ± .5i√3 

 

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