2x^3+x^2-13x+6因式为?

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2x^3+x^2-13x+6因式为?2x^3+x^2-13x+6因式为?2x^3+x^2-13x+6因式为?2x^3+x^2-13x+6=2x^3+2x^2-13x+6-x^2=2x^3+(2x^2-

2x^3+x^2-13x+6因式为?
2x^3+x^2-13x+6因式为?

2x^3+x^2-13x+6因式为?
2x^3+x^2-13x+6
=2x^3+2x^2-13x+6-x^2
=2x^3+(2x^2-13x+6)-x^2
=2x^3-x^2+(2x-1)(x-6)
=(2x^3-x^2)+(2x-1)(x-6)
=x^2(2x-1)+(2x-1)(x-6)
=(2x-1)(x^2+x-6)
=(2x-1)(x+3)(x-2)