Com es divideixen (-6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3)?

Com es divideixen (-6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3)?
Anonim

Resposta:

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

Explicació:

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

El mètode de la divisió llarga:

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

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

# "" "" "" "" "" "" "subratlla (-6x ^ 4 + 0 * x ^ 3-18x ^ 2" "" "" "" #

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

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

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

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

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

La resposta

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