8x+2 factored using the GCF. My friend is wondering this, I have seen responses but like all are different. Please help! 7th grade math.

Question

asked Feb 27, 2021 200k views

1 Answer

Kirk Powell · Answer 1 · 2021-03-05T14:45:34+0000

Step-by-step explanation:

For now, ignore the x.

The GCF of 8 and 2 is 2 since 2 is a factor of both

2 = 2*1

8 = 2*4

So if we had 8+2 we can factor 2 out like so to get 2*(4+1)

Notice that I divided each term by 2 when going from 8+2 to 4+1. Then I stuck a 2 outside. You can use the distributive property to check the result.

Similarly,

8x+2 = 2(4x+1)

which you can also check using the distributive property.