Question

x^2 + 10x + 16

Answer 1

(x+8)(x+2)

Answer 2

16=8(2)
10=8+2

Answer 3

To factor a quadratic:
Multiply a and c. Find factors of (ac) that add to b. Separate the middle term into these factors:
1 x 16 = 16. Factors of 16 that add to 10? 8 and 2. So split 10x into 8x and 2x
x^2 +2x +8x +16
Divide the two left terms by their gcf, and the two right terms by their gcf.
x(x+2)+8(x+2)

Now put that into two terms:
(x+8)(x+2)