因式分解:2X^3-5X^2+X+2
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因式分解:2X^3-5X^2+X+2
![因式分解:2X^3-5X^2+X+2](/uploads/image/z/18446532-60-2.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A2X%5E3-5X%5E2%2BX%2B2)
2x^3-5x^2+x+2
=2x^3-4x^2-x^2+2x-x+2
=2x^2(x-2)-x(x-2)-(x-2)
=(x-2)(2x^2-x-1)
=(x-2)(2x+1)(x-1).
=2x^3-4x^2-x^2+2x-x+2
=2x^2(x-2)-x(x-2)-(x-2)
=(x-2)(2x^2-x-1)
=(x-2)(2x+1)(x-1).