Answer:
[tex]2 {x}^{2} + 13x + 15 \\ 2 {x}^{2} + 10x + 3x + 15 \\ 2x(x + 5) + 3(x + 5) \\ (2x + 3)(x +5 )[/tex]
[tex]5 {x}^{2} + 21x + 4 \\ 5 {x}^{2} + 20x + 1x + 4 \\ 5x(x + 4) + 1(x + 4) \\ = (5x + 1)(x + 4)[/tex]
[tex]7 {x}^{2} - 59x + 24 \\ 7 {x}^{2} - 56x - 3x + 24 \\ 7x(x - 8) - 3(x - 8) \\ = (7x - 3)(x - 8)[/tex]