we are given
[tex] 10x+12 [/tex]
We have to factor it by using GCF
so, firstly , we will find common factor
we can write it as
[tex] 2*5x+2*6 [/tex]
we can see that 2 is multiple in both terms
so, GCF is 2
so, we can factor out 2 from both
[tex] 2*5x+2*6=2(5x+6) [/tex]
so, factor is
[tex] 10x+12=2(5x+6) [/tex]........Answer