Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(x + 4) and (x - 1)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {x}^{2} + 3x - 4}[/tex]
Find the two numbers that multiplies to 4 and subtracts to 3. The numbers are 4 and 1
[tex] \dashrightarrow{ \sf{ {x}^{2} + (4 - 1)x - 4}}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{2} + 4x - x - 4}}[/tex]
Take x as common
[tex] \dashrightarrow{ \sf{x(x + 4) -x - 4}}[/tex]
Take 1 as common
[tex] \dashrightarrow{ \sf{x(x + 4) - 1(x + 4)}}[/tex]
[tex] \dashrightarrow{ \sf{(x + 4)(x - 1)}}[/tex]
Hope I helped!
Best regards! :D
