Let the coefficients in the cubic equati...

Let the coefficients in the cubic equation `ax^3 + bx^2+cx + d = 0` be related by `-a + b-c+d = 3 and 8x + 4b + 2c + d = 6.` Show that the quadratic equation `3ax^2 + 2bx + c - 1` has a root in `(-1,2).`

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