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Let P(x) be polynominal of degree atmost...

Let P(x) be polynominal of degree atmost 5 which leaves remainders -1 and 1 upon division by `(x-1)^(3) " and " (x+1)^(3)`, respectively.
Number of real roots of P(x)=0 is

A

`-1/sqrt(3)`

B

0

C

`1/sqrt(3)`

D

1

Text Solution

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The correct Answer is:
c
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