Solution:
If f(0) is non-negative, roots of f(x) = 0 cannot be of opposite signs.
So the possibilities for the two roots are (0,3), (0,2), (0, 1), (1, 2), (1, 3), (2, 3), (0, -3), (0, -2), (0, -1), (-1,-2), (-1 ,-3 ) and (-2,-3).
Hence the required answer is 12.
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