Respuesta :

2x² ​ ​+ 2x − 24

GCF = 2

2(2x
²/2 + 2x/2 - 24/2)

2(x - 3)(x + 4)

Answer:

Step-by-step explanation:

Alright, lets get started.

The given polynomial is :

[tex]2x^2+2x-24[/tex]

2 is common in each term of this polynomial, so

[tex]2(x^2+x-12)[/tex]

[tex]2(x^2+4x-3x-12)[/tex]

[tex]2[x(x+4)-3(x+4)][/tex]

Now (x+4) is common in both terms , so taking (x+4) common

[tex]2(x+4)(x-3)[/tex]

or

[tex]2(x-3)(x+4)[/tex]   :    Answer

Hope it will help :)