Odgovor:
Kvocijent je # = (D ^ ^ 3-4d 2-8d-15) #
Obrazloženje:
Izvedimo dugu podjelu
# D-2 ##COLOR (bijeli) (aaaa) ##|## ^ D ^ 4-6d 3 + 2 + 0 d ^ d + 17 ##COLOR (bijeli) (aa) ##|## ^ D ^ 3-4d 2-8d-15 #
#COLOR (bijeli) (aaaaaaaaaa) ## ^ D ^ 3 4-2d #
#COLOR (bijeli) (aaaaaaaaaaa) ## 0-4d ^ 3 ^ 0 d + 2 #
#COLOR (bijeli) (aaaaaaaaaaaaa) ## ^ 3 -4d + 8d ^ 2 #
#COLOR (bijeli) (aaaaaaaaaaaaaa) ## -0-8d ^ 2 + d #
#COLOR (bijeli) (aaaaaaaaaaaaaaaaa) ## -8d ^ 2 + 16d #
#COLOR (bijeli) (aaaaaaaaaaaaaaaaaaa) ## 17 + -0-15d #
#COLOR (bijeli) (aaaaaaaaaaaaaaaaaaaaaaa) ## -15d + 30 #
#COLOR (bijeli) (aaaaaaaaaaaaaaaaaaaaaaaaa) ##-0-13#
Stoga, # (D ^ 4-6d ^ 3 + d + 17) / (d-2) = d ^ ^ 3-4d 2-8d-15-13 / (d-2) *
Ostatak je #=-13# i kvocijent je # = (D ^ ^ 3-4d 2-8d-15) #
