If \[{{\mathbf{x}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+x+b}\]is exactly divisible by \[\mathbf{(x+2)}\] as well as \[\mathbf{(x-2)}\] then ______

If \[{{\mathbf{x}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{x}}^{\mathbf{3}}}\

1.	If \[{{\mathbf{x}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+x+b}\]is exactly divisible by \[\mathbf{(x+2)}\] as well as \[\mathbf{(x-2)}\] then ______
A.	\[a+b=1\]
B.	\[a+2b=5\]
C.	\[a=b+1\]
D.	All the above
E.	None of these
Answer» C. \[a=b+1\]

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If \[{{\mathbf{x}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+x+b}\]is exactly divisible by \[\mathbf{(x+2)}\] as well as \[\mathbf{(x-2)}\] then ______

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