What's the factored form of x^2+10x+16

Let's start out by finding 2 factors of 16 that add up to 10. Since 16 is positive and 10 is positive, both factors will be positive.

Factors of 16: 1,2,4,4,8,16.

2+8=10

Our 2 factors are 2 and 8.

Now convert into factored form:

(x+2) (x+8)