If the remainders of the polynomial f(x...

If the remainders of the polynomial `f(x)` when divided by `x-1, x-2` are 2, 5 then the remainder of `f(x)` when divided by `(x-1)(x-2)` is

A

0

B

`1-x`

C

`2x-1`

D

`3x-1`

Text Solution

Verified by Experts

The correct Answer is:

D

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Knowledge Check

Let f(x) be a polynomial for which the remainders when divided by x-1 , x-2 , x-3 respectively are 3,7,13 then the remainder of f(x) when divided by (x-1) (x-2) (x-3) is

A

`f(x)`

B

`x^2+X+1`

C

`x^2 +1`

D

none

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