Question

(08.03 MC)

Answer 1

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.  Thus,

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

Answer 2

Answer:

2(x − 3)(x + 4)

Step-by-step explanation:

We have to factor the expression $2x^2+2x-24$

Factor out GCF which is 2

$2(x^2+x-12)$

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

$2(x^2+4x-3x-12)$

Now, we factor out GCF as follows

$2(x(x+4)-3(x+4))$

Now, factored out the common term

$2((x+4)(x-3))$

First option is correct.

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