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

Let `f(x)=a x^2+bx +c `a ,b ,c` in R`. If `f(x)` takes real values for real values of `x` and non-real values for non-real values of `x` , then (a)`a=0` (b) `b=0` (c) `c=0` (d) nothing can be said about `a ,b ,c`.

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