You are given that the function f (x, y, z) = ax? + b(y² + z²) + cxy + dxz, а, b, с, d € R (0,0, 0). Assuming a x b > 0 and c, d not has a critical point at (xo, Yo, zo) = simultaneously equal to zero, classify the critical point (0,0,0) of f(x,y, z).

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