Answer
$$(16x+5)(x-1).$$
Work Step by Step
For the polynomial
$$
16x^2 - 11x - 5
$$
we check the factors of $ac=-5(16)=-80$. The only factors that can give the right middle term are $-5$ and $16$, as follows
$$16x^2 - 11x - 5 =(16x+5)(x-1).$$
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