(3x ^ 3 + 4x - 1) / (x ^ 2 + 1)은 무엇입니까?

(3x ^ 3 + 4x - 1) / (x ^ 2 + 1)은 무엇입니까?
Anonim

대답:

# 3x + (x-1) / (x ^ 2 + 1) #.

설명:

관찰, # 3x ^ 3 + 4x-1 #.

# = 3x ^ 3 + 3x + x-1 #, # = 3x (x ^ 2 + 1) + (x-1) #.

#:. (3x ^ 3 + 4x-1) / (x ^ 2 + 1) = {3x (x ^ 2 + 1) + (x-1)} /, # = {3x (x ^ 2 + 1)} / (x ^ 2 + 1) + (x-1) /, # rArr (3x ^ 3 + 4x-1) / (x ^ 2 + 1) = 3x + (x-1) / (x ^ 2 + 1) #.