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andrezito [222]
3 years ago
9

(08.03 MC)

Mathematics
2 answers:
tester [92]3 years ago
7 0
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 <span>2x2 + 2x − 24 = 2(x-4)(x+3).</span>
masya89 [10]3 years ago
4 0

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)

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