Final answer:
To factor the polynomial n^2 + 16n + 63, the factored form is (n + 7)(n + 9).
Step-by-step explanation:
To factor the polynomial n^2 + 16n + 63, we look for two numbers that multiply to give 63 and add up to give 16. The numbers that satisfy these conditions are 7 and 9. Therefore, the factored form of the polynomial is (n + 7)(n + 9).