Final answer:
To factor the expression w^2+18w+77, we can rewrite it as (w+7)(w+11).
Step-by-step explanation:
To factor the expression w^2+18w+77, we need to find two numbers that multiply to give 77 and add up to 18. After some trial and error, we find that the numbers are 7 and 11. Therefore, we can rewrite the expression as (w+7)(w+11).