Kako dijeliti (-6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3)?

Kako dijeliti (-6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3)?
Anonim

Odgovor:

#COLOR (plava) ((- 6x ^ 4-3x ^ 3-2x ^ 2-4 *-7) / (x ^ 2 + 3) = - 6x ^ 2-3x + 16 + (5x-55) / (x ^ 2 + 3)) *

Obrazloženje:

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

Metoda Long Division:

# "" "" "" "" "" "" podcrtano (-6x ^ 2-3x + 16 "" "" "" "" "" "" "" "" ""

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

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

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

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

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

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

# "" "" "" "" "" "" "" "" "" "" "" "" "" 5x-55 larr #Ostatak

Odgovor

#COLOR (plava) ((- 6x ^ 4-3x ^ 3-2x ^ 2-4 *-7) / (x ^ 2 + 3) = - 6x ^ 2-3x + 16 + (5x-55) / (x ^ 2 + 3)) *