Answer:
[tex](x + 2)(3x + 5)[/tex]
Step-by-step explanation:
[tex]3 {x}^{2} + 11x + 10 \\ 3 {x}^{2} + 6x + 5x + 10 \\ (3 {x}^{2} + 6x) + (5x + 10) \\ \frac{3x}{3x} (3 {x}^{2} + 6x) + \frac{5}{5} (5x + 10) \\ 3x(x + 2) + 5(x + 2) \\ \frac{x + 2}{x + 2} (3x(x + 2) + 5(x + 2)) \\ (x + 2)(3x + 5)[/tex]