Answer: (x+2)(x+6)
Reason:
We look for two values that
- a) multiply to 12
- b) add to 8
Using trial and error, you should find those two values are 2 and 6
- 2 times 6 = 12
- 2 plus 6 = 8
This is how we arrive at (x+2)(x+6)
Use the FOIL rule to expand that out and you should get x^2+8x+12 to confirm the answer.