question_answer

If (\[x-2\]) is a factor of \[{{x}^{3}}+a{{x}^{2}}+bx+16\]and b=4a, then find the values of a and b.

A) \[a=2,\text{ }b=-8\]

B)        \[a=-2,b=8\]

C) \[a=-2,\text{ }b=-8\]

D) \[a=2,\text{ }b=8\]

E) None of these