question_answer

If \[(a-2)\] is a factor of \[({{a}^{3}}+k{{a}^{2}}+ma+6)\] and leaves the remainder as 3 when it is divided by\[(a-3),\] then which one of the following options represents the value of k and m?

A)  \[k=-\,3,\,m=-\,2\]        

B)  \[k=-\,3,\,m=-\,1\]

C)  \[k=-\,3,\,m=1\]                       

D)  \[k=3,\,m=-\,1\]

E)  None of these