State if the given binomial is a factor of the given polynomial

Answer:
B - yes
Step-by-step explanation:
If (n - 9) is a factor then when evaluated at n = 9, if the result is zero then it is a factor of the polynomial, that is
9³ + 9² - 84(9) - 54
= 729 + 81 - 756 - 54
= 0
Since the result is zero then (n - 9) is a factor of the polynomial