这题怎么分解6x⁴+5x³-38x²+5x+6
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/05 16:27:44
这题怎么分解6x⁴+5x³-38x²+5x+6
![这题怎么分解6x⁴+5x³-38x²+5x+6](/uploads/image/z/19213894-46-4.jpg?t=%E8%BF%99%E9%A2%98%E6%80%8E%E4%B9%88%E5%88%86%E8%A7%A36x%26%238308%3B%2B5x%26%23179%3B-38x%26%23178%3B%2B5x%2B6)
6x⁴+5x³-38x²+5x+6
=6(x⁴+2x²+1)+5(x³+x)-50x²
=6(x²+1)²+5x(x²+1)-50x²
2 -5
3 10
=[2(x²+1)-5x]*[3(x²+1)+10x]
=(2x²-5x+2)(3x²+10x+3)
=6(x⁴+2x²+1)+5(x³+x)-50x²
=6(x²+1)²+5x(x²+1)-50x²
2 -5
3 10
=[2(x²+1)-5x]*[3(x²+1)+10x]
=(2x²-5x+2)(3x²+10x+3)