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Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), find...

Let `f(x+(1)/(x))=x^(2)+(1)/(x^(2))`, find the remainder when `f(x)` is divided by `2x+1`.

A

`(-97)/(36)`

B

`(97)/(36)`

C

`(-99)/(36)`

D

`(99)/(36)`

Text Solution

Verified by Experts

The correct Answer is:
A
(i) `f(x+(1)/(x))=(x+(1)/(x))^(2)-2`.
(ii) Replace `x+(1)/(x)` by x.
(iii) Put `x=(1)/(2)`.
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