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If (x-2)^(2) is a factor of f(x)=x^(3)+p...

If `(x-2)^(2)` is a factor of `f(x)=x^(3)+px+q` , then find the remainder when `d f(x)` is divided by `x - 1`.

A

4

B

`-4`

C

`-5`

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Since the coefficient of `x^(2)` is 0 , the sum of the roots is '0' .
`rArr` Third roots is - 4.
(ii) Apply remainder theorem for `f(x)=(x-2)^(2)(x+4)`.
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