Answer:
option D
Explanation:
(x-9) is a factor
x-9 =0 so x=9
now we plug in 9 for x and see which polynomial gives us remainder 0
A. x^2 - 6x +9 = 9^2 - 6(9) + 9 = 36
Remainder = 36 so (x-9) is not a factor
B) x^2 + 16x + 63= 9^2 + 16(9) + 63 = 288
Remainder =288 so (x-9) is not a factor
C) x^2 + 14x + 45= 9^2 + 14(9) + 45 = 252
Remainder = 252 so (x-9) is not a factor
D) x^2 - 12x + 27= 9^2 -12(9) + 27 = 0
Remainder = 0 so (x-9) is a factor