Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(x + 4)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {x}^{2} - 5x - 36}[/tex]
Find the two numbers that multiplies to 36 and subtracts to 5
[tex] \dashrightarrow{ \sf{ {x}^{2} - (9 - 4)x - 36}}[/tex]
Distribute ( - ) sign through the parentheses
[tex] \dashrightarrow{ \sf{ {x}^{2} - 9x + 4x - 36}}[/tex]
Take x as common
[tex] \dashrightarrow{ \sf{x(x - 9) + 4x - 36}}[/tex]
Take 4 as common
[tex] \dashrightarrow{ \sf{x(x - 9) + 4(x - 9)}}[/tex]
[tex] \dashrightarrow{ \sf{(x - 9)(x + 4)}}[/tex]
( x + 4 ) is the other factor of x² - 5x - 36
Hope I helped!
Best regards! :D
