(2x-3)(x-n)=2x^2+5x+m求m与n
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(2x-3)(x-n)=2x^2+5x+m求m与n
(2x-3)(x-n)=2x^2+5x+m
求m与n
(2x-3)(x-n)=2x^2+5x+m求m与n
(2x-3)(x-n)=2x^2+5x+m
2x²-(3+2n)x-3n=2x^2+5x+m
-(3+2n)=5
2n=-8
n=-4
m=-3n
m=12
(2x-3)(x-n)=2x^2-2nx-3x+3n=2x^2+(-2n-3)x+3n
因为(2x-3)(x-n)=2x^2+5x+m
所以 -2n-3=5 n=-4 m=3n=3×(-4)=-12
左式展开:(2x-3)(x-n)=2x²-(2n+3)x+3n
∴2x²-(2n+3)x+3n=2x²+5x+m
对应系数相等:-(2n+3)=5,3n=m
解之得:n= -4, m= -12
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