Let a,b,c in R. If f(x)=ax^2+bx+c is su...

Let `a,b,c in R`. If f(x)=`ax^2+bx+c` is such that a+b+c=3 `f(x+y)=f(x)+f(y)+xy AA x, y in R` then `sum_(n=1)^10 f(n)` is equal to

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