Sagot:
Ang kusyente ay # = (d ^ 3-4d ^ 2-8d-15) #
Paliwanag:
Gawin natin ang mahabang dibisyon
# d-2 ##color (white) (aaaa) ##|## d ^ 4-6d ^ 3 + 0d ^ 2 + d + 17 ##color (white) (aa) ##|## d ^ 3-4d ^ 2-8d-15 #
#color (white) (aaaaaaaaaa) ## d ^ 4-2d ^ 3 #
#color (white) (aaaaaaaaaaa) ## 0-4d ^ 3 + 0d ^ 2 #
#color (white) (aaaaaaaaaaaaa) ## -4d ^ 3 + 8d ^ 2 #
#color (white) (aaaaaaaaaaaaaa) ## -0-8d ^ 2 + d #
#color (white) (aaaaaaaaaaaaaaaaa) ## -8d ^ 2 + 16d #
#color (white) (aaaaaaaaaaaaaaaaaaa) ## -0-15d + 17 #
#color (white) (aaaaaaaaaaaaaaaaaaaaaaa) ## -15d + 30 #
#color (white) (aaaaaaaaaaaaaaaaaaaaaaaaa) ##-0-13#
Samakatuwid, # (d ^ 4-6d ^ 3 + d + 17) / (d-2) = d ^ 3-4d ^ 2-8d-15-13 / (d-2) #
Ang natitira ay #=-13# at ang quotient ay # = (d ^ 3-4d ^ 2-8d-15) #
