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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

B

3

C

5

D

2

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The correct Answer is:
A
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