D-2를 d ^ 4-6 ^ 3 + d + 17으로 나눈 몫은 무엇입니까?

대답:

몫은 # = (d ^ 3-4d ^ 2-8d-15) #

긴 분할을 수행합시다.

# d-2 ##color (흰색) (aaaa) ##|## d ^ 4-6d ^ 3 + 0d ^ 2 + d + 17 ##color (흰색) (aa) ##|## d ^ 3-4d ^ 2-8d-15 #

#color (흰색) (aaaaaaaaaa) ## d ^ 4-2d ^ 3 #

#color (흰색) (aaaaaaaaaaa) ## 0-4d ^ 3 + 0d ^ 2 #

#color (흰색) (aaaaaaaaaaaaa) ## -4d ^ 3 + 8d ^ 2 #

#color (흰색) (aaaaaaaaaaaaaa) ## -0-8d ^ 2 + d #

#color (흰색) (aaaaaaaaaaaaaaaaa) ## -8d ^ 2 + 16d #

#color (흰색) (aaaaaaaaaaaaaaaaaaa) ## -0-15d + 17 #

#color (흰색) (aaaaaaaaaaaaaaaaaaaaaaa) ## -15d + 30 #

#color (흰색) (aaaaaaaaaaaaaaaaaaaaaaaaa) ##-0-13#

따라서, # (d ^ 4-6d ^ 3 + d + 17) / (d-2) = d ^ 3-4d ^ 2-8d-15-13 / (d-2) #

나머지는 #=-13# 그 몫은 # = (d ^ 3-4d ^ 2-8d-15) #