Respuesta :

Answer:

There are four correct expressions.

Step-by-step explanation:

Four correct expressions:

[tex] {x}^{2} - x - 42[/tex]

[tex] {x}^{2} +6x −7x −42[/tex]

[tex]x(x−7)+6(x−7)[/tex]

[tex] 2x +6x-7x−42[/tex]

Simplify:

[tex] {x}^{2} - x - 42[/tex]

[tex](x+6)(x−7)[/tex]

[tex]x(x−7)+6(x−7)[/tex]

[tex] 2x +6x-7x−42[/tex]

[tex] {x}^{2} −7x+6x−42[/tex]

[tex] {x}^{2} - x - 42[/tex]

Hope it is helpful....

Answer:

(x+6)×(x-7)

x(x-7)+6(x-7)

x^2-7x+6x-42

x^2-x-42=0

x^2-(7-6)x-42=0

x^2-7x+6x-42=0

x(x-7)+6(x-7)=0

(x+6).(x-7)=0

x+6=0 is equation one

x-7=0. is equation two

equation one is solve

x+6=0

x=-6

equation two is solve

x-7=0

x=7

therefore, x= -6 and 7