Antwoord:
Het quotiënt is # = (D ^ ^ 3-4d 2-8d-15) #
Uitleg:
Laten we de lange divisie uitvoeren
# D-2 ##color (wit) (aaaa) ##|## 4-6d d ^ ^ 3 + 0d ^ 2 + d + 17 ##color (wit) (aa) ##|## ^ D ^ 3-4d 2-8d-15 #
#color (wit) (aaaaaaaaaa) ## 4-2d d ^ ^ 3 #
#color (wit) (aaaaaaaaaaa) ## 0-4d ^ 3 + 0d ^ 2 #
#color (wit) (AAAAAAAAAAAAA) ## -4D ^ 3 + 8d ^ 2 #
#color (wit) (aaaaaaaaaaaaaa) ## -0-8d ^ 2 + d #
#color (wit) (aaaaaaaaaaaaaaaaa) ## -8d ^ 2 + 16d #
#color (wit) (aaaaaaaaaaaaaaaaaaa) ## -0-15d + 17 #
#color (wit) (aaaaaaaaaaaaaaaaaaaaaaa) ## -15d + 30 #
#color (wit) (aaaaaaaaaaaaaaaaaaaaaaaaa) ##-0-13#
daarom
# (D ^ 4-6d ^ 3 + d + 17) / (d-2) = d ^ ^ 3-4d-2-8d 15-13 / (d-2) #
De rest is #=-13# en het quotiënt is # = (D ^ ^ 3-4d 2-8d-15) #
