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

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

A

165

B

190

C

255

D

330

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The correct Answer is:
D
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