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The number of polynomials of the form x^...

The number of polynomials of the form `x^3 + ax^2 + bx + c` which are divisible by `x^2 + 1` and where a, b , c belong to {1,2,....,10}

A

5

B

10

C

15

D

None of these

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The correct Answer is:
B
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