Answer
$(3m+1)(2m-5)$
Work Step by Step
Step 1. Find factors of $6$ as $(2)(3)$, and find factors of $-5$ as $(-5)(1)$
Step 2. Find the sum of cross product of the factors as $(3)(-5)+(2)(1)=-13$
Step 3. We have $6m^2-13m-5=(3m+1)(2m-5)$
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