Question

Factor completely 2x2 + 2x − 24. 2(x − 3)(x + 4) (2x − 6)(x + 4) (2x − 3)(x + 8) 2(x − 4)(x + 6)

Answer 1

2x​² ​ ​+ 2x − 24

GCF = 2

2(2x²/2 + 2x/2 - 24/2)

2(x - 3)(x + 4)

Answer 2

Explanation:

Alright, lets get started.

The given polynomial is :

`2x^2+2x-24`

2 is common in each term of this polynomial, so

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

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

`2[x(x+4)-3(x+4)]`

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

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

or

`2(x-3)(x+4)` : Answer

Hope it will help :)