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Let a ,b ,c in Q^+ satisfying a > b > c...

Let `a ,b ,c in Q^+` satisfying `a > b > c dot` Which of the following statements (s) hold true of the quadratic polynomial `f(x)=(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)?` A) The mouth of the parabola `y=f(x)` opens upwards B) Both roots of the equation `f(x)=0` are rational C) The x-coordinate of vertex of the graph is positive D) The product of the roots is always negative

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