若x^2-3x+2=0,则x^3-x^2-4x+10的值是_数学解答

若x^2-3x+2=0,则x^3-x^2-4x+10的值是

人气：231 ℃　时间：2020-05-24 14:26:32

解答

解
x^2-3x+2=0
x^2-3x=-2
x^3-x^2-4x+10
=x(x^2-3x)+2x^2-4x+10
=-2x+2x^2-4x+10
=2x^2-6x+10
=2(x^2-3x)+10
=2×(-2)+10
=-4+10
=6