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If the remainder of the polynomial `f(x)` when divided by `x+1` and `x-1` are 7, 3 then the remainder of `f(x)` when devided by `x^(2)-1` is

A

3x+5

B

2x+7

C

2x+5

D

3x+7

Text Solution

Verified by Experts

The correct Answer is:
C
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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
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    B
    `x^2+X+1`
    C
    `x^2 +1`
    D
    none
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