question_answer

If \[15{{a}^{4}}-\text{ }16{{a}^{3}}+\text{ }9{{a}^{2}}-\text{ }\frac{10}{3}a\text{ }+\text{ }6\] is divided by 3a - 2 then quotient and remainder are respectively _

A) \[5{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }5a\text{ }and\text{ }5\]        

B) \[5{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }\frac{5}{3}a\text{ }and\text{ }5\]

C) \[6{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }\frac{3}{5}a\text{ }and\text{ 6}\]         

D) \[5{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }\frac{5}{3}a\text{ }and\text{ 6}\]

E) None of these