若不论x取何值,多项式x³-2x²-4x-1=(x+1)(x²+mx+n)都相等,求m,n的值.
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 13:40:08
![若不论x取何值,多项式x³-2x²-4x-1=(x+1)(x²+mx+n)都相等,求m,n的值.](/uploads/image/z/2096146-10-6.jpg?t=%E8%8B%A5%E4%B8%8D%E8%AE%BAx%E5%8F%96%E4%BD%95%E5%80%BC%2C%E5%A4%9A%E9%A1%B9%E5%BC%8Fx%26%23179%3B-2x%26%23178%3B-4x-1%3D%28x%2B1%29%28x%26%23178%3B%2Bmx%2Bn%29%E9%83%BD%E7%9B%B8%E7%AD%89%2C%E6%B1%82m%2Cn%E7%9A%84%E5%80%BC.)
若不论x取何值,多项式x³-2x²-4x-1=(x+1)(x²+mx+n)都相等,求m,n的值.
若不论x取何值,多项式x³-2x²-4x-1=(x+1)(x²+mx+n)都相等,求m,n的值.
若不论x取何值,多项式x³-2x²-4x-1=(x+1)(x²+mx+n)都相等,求m,n的值.
(x+1)(x²+mx+n)=x³+x²(m+1)+x(m+n)+n=x³-2x²-4x-1
所以: n=-1 m+1=-2 m+n=-4
m=-3 n=-1