For what value of k, \[\mathbf{3}{{\mathbf{x}}^{\mathbf{4}}}\mathbf{+2}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+3k}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2x+6}\] is exactly divisible by \[\mathbf{(x-2)?}\]

For what value of k, \[\mathbf{3}{{\mathbf{x}}^{\mathbf{4}}}\mathbf{+2

1.	For what value of k, \[\mathbf{3}{{\mathbf{x}}^{\mathbf{4}}}\mathbf{+2}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+3k}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2x+6}\] is exactly divisible by \[\mathbf{(x-2)?}\]
A.	1
B.	2
C.	-2
D.	\[-\frac{8}{3}\]
Answer» E.

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For what value of k, \[\mathbf{3}{{\mathbf{x}}^{\mathbf{4}}}\mathbf{+2}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+3k}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2x+6}\] is exactly divisible by \[\mathbf{(x-2)?}\]

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