Wie teilen Sie # (- 6x ^ 4-3x ^ 3-2x ^ 2-4x-7) / (x ^ 2 + 3) #?

Antworten:

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

Erläuterung:

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

Die Long-Division-Methode:

# "" "" "" "" "" "" unterstrichen (-6x ^ 2-3x + 16 "" "" "" "" "" "" "") #
# x ^ 2 + 0 * x + 3 | ~ -6x ^ 4-3x ^ 3-2x ^ 2-4x-7 #
# "" "" "" "" "" "unterstrichen (-6x ^ 4 + 0 * x ^ 3-18x ^ 2" "" "") #
# "" "" "" "" "" "" "" -3x ^ 3 + 16x ^ 2-4x-7 #
# "" "" "" "" "" "" "" "unterstreichen (-3x ^ 3 + 0 * x ^ 2-9x) #
"" "" "" "" "" "" "" "" "16x ^ 2 + 5x-7 #
# "" "" "" "" "" "" "" "" "" "(16x ^ 2 + 0 * x + 48) #
# "" "" "" "" "" "" "" "" "" "" "" + 5x-55 larr #Rest

Die Antwort

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