Answer
$(4m+1)(2m-3)$
Work Step by Step
For the polynomial
$$
8m^2 -10m -3
$$
we check the factors of $ac=8(-3)=-24$. The only factors that can give the right middle term are $2$ and $-12$, as follows
$$
8m^2 -10m -3=(4m+1)(2m-3)
.$$
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