回答:
#色(青)(( - 6x ^ 4-3x ^ 3-2x ^ 2-4x-7)/(x ^ 2 + 3)= - 6x ^ 2-3x + 16 +(5x-55)/(x ^ 2 + 3))#
説明:
#( - 6x ^ 4-3x ^ 3-2x ^ 2-4x-7)/(x ^ 2 + 3)#
ロングディビジョン法:
# "" "" "" "" "" "下線(-6x ^ 2-3x + 16" "" "" "" "" "" "" "" "" "" ""#
#x ^ 2 + 0 * x + 3 |〜-6x ^ 4-3x ^ 3-2x ^ 2-4x-7#
# "" "" "" "" "" "下線(-6x ^ 4 + 0 * x ^ 3-18x ^ 2" "" "" ")#
# "" "" "" "" "" "" "" "-3x ^ 3 + 16x ^ 2-4x-7#
# "" "" "" "" "" "" "" "下線(-3x ^ 3 + 0 * x ^ 2-9x)#
# "" "" "" "" "" "" "" "" "" "16x ^ 2 + 5x-7#
# "" "" "" "" "" "" "" "" "" ""下線(16x ^ 2 + 0 * x + 48)#
# "" "" "" "" "" "" "" "" "" "" "" "" + 5x-55 larr#残り
答え
#色(青)(( - 6x ^ 4-3x ^ 3-2x ^ 2-4x-7)/(x ^ 2 + 3)= - 6x ^ 2-3x + 16 +(5x-55)/(x ^ 2 + 3))#