Respuesta :

irindigoblue

Answer:

(x - 8) (x + 5)

Step-by-step explanation:

You want to start with breaking down -40 to find the integers that will go into that, which are 8 and 5. Then you take the knowledge of 8 and 5 and turn your attention to -3x.

8 and 5 must be added together to equal -3x. 8 is the larger number so it must be the negative in the equation and be must be the positive. Thus it would be -8x + 5x = -3x

Knowing that, is it simple to break x^2 because it is simply x * x = x^2

Nayefx

Answer:

[tex] \displaystyle( x - 8)(x + 5)[/tex]

Step-by-step explanation:

we would like to factor the following expression:

[tex] \displaystyle {x}^{2} - 3x - 40[/tex]

in order to do so rewrite the middle term as 5x-8x:

[tex] \displaystyle {x}^{2} + 5x - 8x - 40[/tex]

factor out x:

[tex] \displaystyle x ({x}^{} + 5) - 8x - 40[/tex]

factor out -8:

[tex] \displaystyle x ({x}^{} + 5) - 8(x + 5)[/tex]

group:

[tex] \displaystyle( x - 8)(x + 5)[/tex]

and we are done!