Answer:
(x+5)(x+12)
Explanation:
You have to think, "What two factors of 60 added together make 17?" because those numbers will be the outer numbers that will be two factors of 60 that will have to add up to 17. Let's make a list of all of the factors of 60:
1*60
2*30
3*20
4*15
5*12
6*10
The only set of factors that add up to 17 are 5 and 12. So those will be the outer numbers, with x as the others. Therefore, the factorization comes out to (x+5)(x+12).