Which of the following is a factor of 10x2-11x-6

This is the polynomial equation and rewrite the middle term as a sum of two terms whose products is a*c=10*-6 and whose sum is b = - 11

Factor - 11 out of - 11X

10X² - 11 (X) - 6

Rewrite 11 as 15 + 4

10 x² + (-15 + 4) x - 6

10x² - 15x + 4x - 6

Factor out the greatest common factor from each group.

5x (2x - 3) + 2 (2x - 3)

(5x + 2) (2x - 3)