Question 926867
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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
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (1 +- i*sqrt( 3 ))/2 }}} 
-.5 ± .5i&#8730;3