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

Let `a ,b ,c in Q^+` satisfying `a > b > c `. Which of the following statement(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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