Answer:
(3x+12)(x+5)
Explanation:
In order to solve this you just need to find two different pairs of numbers that multiplied give as result 3, and other that multiplied give as result 60, and when multiplied by eachother and then added up you get 27:
Numbers that multiplied are 3:
3 * 1
1 * 3
Numbers that multiplied are 60:
30 * 2
2 * 30
10 * 6
6 * 10
5 * 12
12 * 5
So we just have to multiplied crossed with this two:
3*30=90 since thi is way over 90 we can eliminate this option:
3*10=30 + 1 *2=32 this is wrong too.
3 * 5= 15 + 1*12=27
So that would be the correct option and the pairs would be 3x+12 and x+ 5
So that would be the factorization for the trinomial 3x2+27x+60