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

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) is qual to

A

255

B

330

C

165

D

190

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The correct Answer is:
B
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