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Find the number of quadratic polynomials...

Find the number of quadratic polynomials `ax^2 + 2bx + c` which satisfy the following conditions :(i) a, b, care distinct (ii) `a, b, c in {1, 2, 3, ......... 2001, 2002}`(iii) x + 1 divides `ax^2 + 2bx + c`

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