Question 852954
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Hi,
-2x^3 -3x^2 +5x+6=0     |Find one root by trial and error: x = 1 NO, x = -1 YES!!
Using that root to find others with Synthetic Division:
{{{ highlight_green(-1)}}}	-2	-3	5	6
				
		2	1	-6
	-2	-1	6	0
{{{(-2x^3 -3x^2 +5x+6)/(x+1)}}} = (-2x^2 -x + 6) = 0   
 (-2x^2 -x + 6) = 0    Factor
 (-2x +3)(x +2)= 0 
 (-2x +3)= 0,  x = 3/2
   (x +2)= 0,  x = -2
Roots:  x = -2, -1, 1.5