希望杯数学题If the product of a simple binomial and a quadratic is a cubic multinomial ,then = = ,= .的中文意思和答案是什么啊

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希望杯数学题If the product of a simple binomial and a quadratic is a cubic multinomial ,then = = ,= .的中文意思和答案是什么啊
希望杯数学题
If the product of a simple binomial and a quadratic is a cubic multinomial ,then = = ,= .的中文意思和答案是什么啊

希望杯数学题If the product of a simple binomial and a quadratic is a cubic multinomial ,then = = ,= .的中文意思和答案是什么啊
题目的意思是:如果一个简单二项式x+m和一个二次式(x-1)^2的乘积等于一个三次多项式x^3+ax+b,那么 a=?,b=?,m=?.
由题意知:(x+m)*(x-1)^2=x^3+ax+b
所以 x^3+(m-2)x^2+(1-2m)x+m=x^3+ax+b
由两边各项系数相等得:m-2=0,1-2m=a,m=b;
所以计算得:m=b=2,a=-3

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