Answer:
![(x+2)(x+8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rszjtdsu7g3gsiq5n6jbaa6xq4s4nistjt.png)
Explanation:
1) First, we need to see which number multiplies to 16 and adds up to 10.
By looking at the factors of 16, we can see that only 2 and 8 will work.
2) Now, we need to arrange them in the factorized equation, which is always
(x+r)(x+q).
3) This will give us our final equation:
![(x+2)(x+8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rszjtdsu7g3gsiq5n6jbaa6xq4s4nistjt.png)
If you want the roots, just do the negation of r and q and you will get it!