Respuesta :

altavistard

Answer

2(x + 4)(x - 3)

The trick here is to notice that all 3 terms can be div. by 2:

2(x^2 + x - 12)

Note that -12 factors into -3 * 4 or -4 * 3.  The pair {4, -3} leads to the correct sign for the middle term of the product.  

x^2 + x - 12 = (x + 4)(x - 3), and so 2x2 + 2x − 24 = 2(x + 4)(x - 3).

SociometricStar

Answer:

2(x − 3)(x + 4)

Step-by-step explanation:

We have to factor the expression [tex]2x^2+2x-24[/tex]

Factor out GCF which is 2

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

We can write the middle term as : x = 4x-3x

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

Now, we factor out GCF as follows

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

Now, factored out the common term

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

First option is correct.

Factored form is given by 2(x − 3)(x + 4)

Otras preguntas