Answer
(2x+1)(x-5)
Work Step by Step
Factor: $2x^{2}-9x-5$
Factors of $2x^{2}$: $2x \times x$
Factors of $-5$: $-5\times1, 5\times-1$
Try combinations of these factors:
$(2x-5)(x+1) = 2x^{2}-3x-5$ Incorrect middle term
$(2x+1)(x-5) = 2x^{2}-9x-5$ Correct middle term