algebra II- Factoring Expressions

6 factors as 1*6 or 2*3, and 1 factors only as 1*1. Since also the linear coefficient is -5 which is negative, the factorization, if possible, is either (2x-1)(3x-1) or (x-1)(6x-1). Expanding each using FOIL reveals that (2x-1)(3x-1) works.