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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` is 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)`

A

225

B

330

C

165

D

190

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The correct Answer is:
B
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