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Consider an unknown polynomial which whe...

Consider an unknown polynomial which when divided by (x-3) and (x-4) leaves 2 and 1 as remainders, respectively, Let R(x) be the remainder when the polynomial is divided by (x-3) (x-4).
Range of f(x) =`=([R(x)])/(x^2-3x+2)` is-

A

[-2,2]

B

`[-infty-2sqrt3]cup[-2+sqrt3,infty]`

C

`[-infty-7-4sqrt3]cup[-7+4sqrt3,infty]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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