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:

	-2	-3	5	6

				

		2	1	-6

	-2	-1	6	0

 = (-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

 

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