英语翻译Express x²-2x-18 in the form a(x+1)(x-2)+b(x+1)
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英语翻译
Express x²-2x-18 in the form a(x+1)(x-2)+b(x+1)²+c(x-2) where a,b and c are constants.
Express x²-2x-18 in the form a(x+1)(x-2)+b(x+1)²+c(x-2) where a,b and c are constants.
把一开始那个式子表示成后面那个式子的形式,其中abc都是常数.先把后面那个式子拆开来,二次项前面的系数最终结果是a+b,一次项系数的结果是2b-a+c,常数项是b-2a-2c.然后分别和前面那个式子的系数对应,a+b=1,2b-a+c=-2,b-2a-2c=-18,得a=3,b=-2,c=5,所以结果是3(x+1)(x-2)-2(x+1)的平方+5(x-2).
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