Bagaimana anda membahagikan (-6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3)?

Bagaimana anda membahagikan (-6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3)?
Anonim

Jawapan:

#color (biru) (- 6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3) = - 6x ^ 2-3x + 16 + (5x-55) / (x ^ 2 + 3)) #

Penjelasan:

# (- 6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3) #

Kaedah Bahagian Panjang:

Garis bawah (-6x ^ 2-3x + 16 "" "" "" "" "" "" "" "" "" ") #

# x ^ 2 + 0 * x + 3 | ~ -6x ^ 4-3x ^ 3-2x ^ 2-4x-7 #

# "" "" "" "" "" "" "garis bawah (-6x ^ 4 + 0 * x ^ 3-18x ^ 2" "" "" ") # #

# "" "" "" "" "" "" "" "" "" -3x ^ 3 + 16x ^ 2-4x-7 #

Garis bawah (-3x ^ 3 + 0 * x ^ 2-9x) # "" "" "" "" "

# "" "" "" "" "" "" "" "" "" "" "" "16x ^ 2 + 5x-7 #

Garis bawah (16x ^ 2 + 0 * x + 48) # "" "" "" "" "" "

# "" "" "" "" "" "" "" "" "" "" "" "" "" "+ 5x-55 larr #Remainder

Jawapan

#color (biru) (- 6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3) = - 6x ^ 2-3x + 16 + (5x-55) / (x ^ 2 + 3)) #