已知(x2+mx+n)(x2-3x+2)的展开式中不含x2项和x项,则m=________,n=________.
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解析分析:根据多项式乘以多项式的法则,可表示为(x2+mx+n)(x2-3x+2)=x4-(3-m)x3+(2+n-3m)x2+(2m-3n)x+2n,再令 x2和x项系数为0,计算即可.
解答:(x2+mx+n)(x2-3x+2)=x4-(3-m)x3+(2+n-3m)x2+(2m-3n)x+2n,
∵(x2+mx+n)(x2-3x+2)的展开式中不含x2项和x项,
则有,
解得.
故