多项式(x²+mx+n)(x²-3x+4)站靠后不含x³项和x²项,试求m,n的值
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![多项式(x²+mx+n)(x²-3x+4)站靠后不含x³项和x²项,试求m,n的值](/uploads/image/z/9286531-43-1.jpg?t=%E5%A4%9A%E9%A1%B9%E5%BC%8F%28x%26%23178%3B%2Bmx%2Bn%29%28x%26%23178%3B-3x%2B4%29%E7%AB%99%E9%9D%A0%E5%90%8E%E4%B8%8D%E5%90%ABx%26%23179%3B%E9%A1%B9%E5%92%8Cx%26%23178%3B%E9%A1%B9%2C%E8%AF%95%E6%B1%82m%2Cn%E7%9A%84%E5%80%BC)
多项式(x²+mx+n)(x²-3x+4)站靠后不含x³项和x²项,试求m,n的值
多项式(x²+mx+n)(x²-3x+4)站靠后不含x³项和x²项,试求m,n的值
多项式(x²+mx+n)(x²-3x+4)站靠后不含x³项和x²项,试求m,n的值
(x²+mx+n)(x²-3x+4)=x⁴+(m-3)x³+(n+4-3m)x²+(4m-2n)x+4n
展开式不含x³项和x²项,则x³项和x²项系数均等于0
m-3=0
n+4-3m=0
解得
m=3 n=5