question_answer

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