Step-by-step explanation:
[tex]10 {n}^{2} + 17n + 6 \\ = 10 {n}^{2} + 12n + 5n+ 6 \\ = 2n(5n + 6) + 1(5n + 6) \\ = (5n + 6)(2n + 1)[/tex]
Thus (5n + 6) & (2n + 1) are the required factors of given expression.