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Consider an unknow polynomial which di...

Consider an unknow polynomial which divided by `(x - 3)` and `(x-4)` leaves remainder 2 and 1, respectively. Let R(x) be the remainder when this polynomial is divided by `(x-3)(x-4)`. If `R(x) = px^(2) + (q-1) x + 6` has no distinct real roots and `p gt 0`, then the least value of `3p + q` is

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