question_answer

Which one of the following statement is correct?

A)  \[(a-3)\] is a factor of the polynomial \[={{a}^{3}}+{{a}^{2}}-17a+15\]

B)  \[{{a}^{3}}+{{a}^{2}}-17a+15\] divided by \[(a-3)\] leaves 5 as the remainder

C)  \[(a-3)\] is factor of the polynomial \[{{a}^{3}}-6{{a}^{2}}+\]\[6a+3\]

D)  \[(a-2)\] is a factor of the polynomial \[3{{a}^{4}}-6{{a}^{2}}\]\[-8a+2\]

E)  None of these