作业帮求一函数如何用综合除法化简,
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/16 09:16:58
求一函数如何用综合除法化简,
求一函数如何用综合除法化简,
求一函数如何用综合除法化简,
x² -2x + 7
——————————
x+2 | x³ + 0x² + 3x + 2
x³ + 2x²
——————————
- 2x² + 3x + 2
- 2x² - 4x
——————————
7x + 2
7x + 14
——————————
- 12
x³+3x+2= (x²-2x+7)(x+2)-12
x³+3x+2 (x²-2x+7)(x+2)-12 12
———— =——————————=x²-2x+7- ———
x+2 x+2 x + 2
x²-2x+7······················商
x+2 / x³ +3x+2
x³+2x²·····················（x+2）x²
-2x²+3x
-2x²-4x··············...
全部展开
x²-2x+7······················商
x+2 / x³ +3x+2
x³+2x²·····················（x+2）x²
-2x²+3x
-2x²-4x·················（x+2)（-2x）
7x+2
7x+14
-12
除不尽，如何化简，题目有问题吗？如果x³是x²的话就可以了
x+1······················商
x+2 / x²+3x+2
x²+2x····················（x+2）x
x+2
x+2·················（x+2)×1
0
原式=x+1
收起
= （X-1）²（X+2）/（X+2）
= （X-1）²