Answer
$(3x+1)(x-4)$
Work Step by Step
For the polynomial
$$
3x^2-11x-4
$$
we check the factors of $ac=3(-4)=-12$. The only factors that can give the right middle term are $-1$ and $12$, as follows
$$3x^2-11x-4=(3x+1)(x-4)
.$$
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