Answer
$$(12x-1)(x+12).$$
Work Step by Step
For the polynomial
$$
12x^2+143x-12
$$
we check the factors of $ac=12(-12)=-144$. The only factors that can give the right middle term are $-1$ and $144$, as follows
$$12x^2+143x-12 =(12x-1)(x+12).$$