Question

If a function satisfies (x - y) (f (x + y) - (x + y) f(x - y) = 2(x² y −y³) ∀ x, y ∈ R and f(1) = 2 , then

(A)  f (x) must be polynomial function

(B)  f(3) = 12

(C)  f(0) = 0

(D) f (x) may not be differentiable 

Answer 1

Correct option (A, B, C)