Answer:
[tex]1.x {}^{2} - 5x - 24 = (x - 8)(x + 3)[/tex]
[tex]2.x {}^{2} + 8x - 65 = (x + 13)(x - 5)[/tex]
[tex]3.x {}^{2} + 9x + 20 = (x + 5)(x + 4)[/tex]
CHECKING
[tex]1.(x - 8)(x + 3)[/tex]
[tex]x(x) + x(3) - 8(x) - 8(3)[/tex]
[tex]x {}^{2} + 3x - 8x - 24[/tex]
combine similar terms
[tex]x {}^{2} - 5x - 24[/tex]
[tex]2.(x + 13)(x - 5)[/tex]
[tex]x(x) + x( - 5) + 13(x) + 13( - 5)[/tex]
[tex]x {}^{2} - 5x + 13x - 65[/tex]
c combine similar terms
[tex] = x {}^{2} + 8x - 65[/tex]
[tex]3.(x + 5)(x + 4)[/tex]
[tex]x(x) + x(4) + 5(x) + 5(4)[/tex]
[tex]x {}^{2} + 4x + 5x + 20[/tex]
combine similar terms
[tex] = x {}^{2} + 9x + 20[/tex]
