question_answer

What should be subtracted from  \[f(x)=6{{x}^{3}}+11{{x}^{2}}-39x-65\] so that f(x) is exactly divisible by\[{{x}^{2}}+x-1\]?

A)  \[38x+60\]                 

B)  \[-38x-60\]                 

C) \[-19x-30\]    

D)                     \[9x+10\]

Correct Answer: B

Solution :

By long division method, we have   We must subtract the remainder so that f(x) is exactly divisible by \[{{x}^{2}}+x-1\] Hence, \[-38x-60\] is to be subtracted.