# Answer to Question #36597 in Calculus for kriti

Question #36597

Let f : R → R be the function

f(x) = (x – a1)(x – a2) + (x – a2)(x – a3) + (x – a3)(x – a1)

with a1, a2, a3 ∈ ı . Then f(x) ≥ 0 if and only if :

f(x) = (x – a1)(x – a2) + (x – a2)(x – a3) + (x – a3)(x – a1)

with a1, a2, a3 ∈ ı . Then f(x) ≥ 0 if and only if :

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