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 + x + 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]
[tex]2 {x}^{2} + 11x - 13 \\ 2 {x}^{2} - 2x + 13x - 13 \\ 2x(x - 1) + 13(x - 1) \\ (2x + 13)(x - 1)[/tex]
[tex]8 {x}^{2} + 29x - 12 \\ 8 {x}^{2} + 32x - 3x - 12 \\ 8x(x + 4) - 3(x + 4) \\ (8x - 3)(x + 4) \\ \\ [/tex]
[tex]12 {x}^{2} - 7x - 12 \\ 12 {x}^{2} + 9x - 16x- 12 \\3x(4x + 3) - 4(4x + 3) \\ (3x - 4)(4x + 3)[/tex]
[tex] - 12 {x}^{2} - 35x - 18 \\ - 12 {x}^{2} - 8x - 27x- 18 \\ - 4x(3x - 2) - 9(3x - 2) \\ ( - 4x - 9)(3x - 2)[/tex]
