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Let P(x) be a polynomial of degree at mo...

Let `P(x)` be a polynomial of degree at most `5` which leaves remainders `-1` and `1` upon divison by `(x-1)^(3)` and `(x+1)^(3)`, respectively.
The sum of pairwise product of all roots ( real and complex) of `P(x)=0` is

A

`-1/(sqrt3)`

B

0

C

`1/(sqrt3)`

D

1

Text Solution

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The correct Answer is:
C
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