What is the factored form of x^2+6x+8

(x+2) (x+4)

Step-by-step explanation:

The x-coefficient (6) is the sum of the constants in the binomial factors, and the constant (8) is their product. To factor such an expression, you look for factors of 8 that sum to 6.

8 = 1·8 = 2·4

The latter two add to give 6: 2+4 = 6. So, the factorization is ...

x^2 + 6x + 8 = (x + 2) (x + 4)