# Start Counting! Part-3

Algebra Level 4

Find the number of Quadratic polynomials,$$ax^2+bx+c$$ which satisfy the following conditions:

1. $$a,b,c$$ are distinct.

2. $$a,b,c$$ belongs to $$\{1,2,3,\ldots,1999 \}$$.

3. $$x+1$$ divides $$ax^2+bx+c$$.

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