好吧问答库 > 确定mn的值使关于xy的多项式x的m-1次方*y的2次方+mx的m-2次方*y+nx的3次方*y的m-3次方-2x的n-3次方*y+mn

确定mn的值使关于xy的多项式x的m-1次方*y的2次方+mx的m-2次方*y+nx的3次方*y的m-3次方-2x的n-3次方*y+mn

是一个五次三项式
2025年03月15日 20:18
有1个网友回答
网友（1）：

解：
x^(m-1)*y²+mx^(m-2)*y+nx³*y^(m-3)-2x^(n-3)*y+mn
次数分别为：
m-1+2=m+1
m-2+1=m-1
3+m-3=m
n-3+1=n-2
是一个五次三项式，则
mn=0
m+1=5
解得
m=4 n=0

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