Consider an unknown polynomial which when divided by \( (x-3) \) and \( (x-4) \) leaves remainde...

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Consider an unknown polynomial which when divided by \( (x-3) \) and \( (x-4) \) leaves remainders 2 and 1 , respectively. Let \( R(x) \) be the remainder when this polynomial is divided by \( (x-3)(x-4) \)
If \( R(x)=p x^{2}+(q-1) x+6 \) has no distinct real roots and \( p \) \( 0 \), then the least value of \( 3 p+q \) is
(a) -2
(b) \( 2 / 3 \)
(c) \( -1 / 3 \)
(d) None of these
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