pls help me. question in picture

Answer:
a.) [tex](m+6)(m+10)[/tex]
Step-by-step explanation:
Factor [tex]m^2+16m+60[/tex]
Find what two numbers add up to 16, and equal 60 when multiplied:
[tex]6[/tex] and [tex]10[/tex]
[tex]6+10=16\\6*10=60[/tex]
Factor:
[tex](m+6)(m+10)[/tex]
Finito.
Answer:
(m+6)(m+10).
Step-by-step explanation:
To find this answer, we will need to determine factors of 60 that when added, they are equivalent to 16.
We can begin by listing some factors:
30 and 2
4 and 15
12 and 5
6 and 10
...
Then, we can determine which of these factors can be added together to become 16. From this, we can determine that only factors "6 and 10" become 16 when added together.
When we do this, we can see that only answer 1, (m+6)(m+10), is equivalent to the equation given.