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Let f(x-(1)/(x))=x^(2)+(1)/(x2), find t...

Let `f(x-(1)/(x))=x^(2)+(1)/(x2)`, find the remainder when `f(x)` is divided by ` x -3`.

A

`(82)/(9)`

B

`(8)/(3)`

C

10

D

11

Text Solution

Verified by Experts

The correct Answer is:
D
(i) `f(x-(1)/(x))=(x-(1)/(x))^(2)+2`.
(ii) Replace `(x-(1)/(x))` with x.
(iii) Use remainder theorem to obatin remainder.
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