If `(x-1)^(2)` is a factor of `f (x)=x^(3)+bx+c` , then find the remai – InterviewSolution

1.	If `(x-1)^(2)` is a factor of `f (x)=x^(3)+bx+c` , then find the remainder when `f (x)` is divided by `(x-2)`.A. 2B. `-3`C. 4D. `-4`
Answer» Correct Answer - C (i) Coefficient of `x^(2)` is 0 , therefore sum of roots is 0 . `:.` Third root =-2. (ii) Apply factro theorem. (iii) To obtain the remainder , use the remainder theorem.

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