question_answer

If the polynomial\[g\,(m)=6{{m}^{4}}+8{{m}^{3}}+17{{m}^{2}}+21m+7\] is divisible by another polynomial\[h\,(m)=3{{m}^{2}}+4m+1\]gives the remainder \[qm+a,\]then find the value of q and a.

A)  \[q=5,\text{ }a=-\,7\]   

B)  \[q=1,\text{ }a=2\]

C)  \[q=2,\text{ }a=-\,5\]   

D)  \[q=1,\text{ }a=-\,2\]

E)  None of these