若多项式2x^3-8x^2+x-1与多项式3x^3+2mx^2-5x+3的和不含x^2项,则m=多少

问题描述:

若多项式2x^3-8x^2+x-1与多项式3x^3+2mx^2-5x+3的和不含x^2项,则m=多少

(2x^3-8x^2+x-1)+(3x^3+2mx^2-5x+3)=5x^3+(2m-8)x^2-4x+2既然不含x^2项,所以2m-8+0,m=4

2x^3-8x^2+x-1+(3x^3+2mx^2-5x+3)=5x^3+(2m-8)x^2-4x+2
x^2系数是2m-8,要不含x^2,则2m-8=0
得:m=4

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2x^3-8x^2+x-1+(3x^3+2mx^2-5x+3)=5x^3+(2m-8)x^2-4x+2
x^2系数是2m-8,要不含x^2,则2m-8=0
得:m=4