Hi

x-2 is a factor of x^3-x^2+kx-2.

2	1	-1	k	-2

		2	2	2k+4

	1	1	k+ 2	0

				k = -1  

.........

x-4 is a factor of x^3-k^2x^2-8kx-16

4	1	-k^2	  -8k	      -16

		4	16 - 4k^2	      -16k^2 - 32k + 64

	1	4-k^2	-4k^2 - 8k + 16	      0

				            k = -3,1  

Synthetic Division works well here.



 

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