因式分解2x^4+3x^3-6x^2-3x+2

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因式分解2x^4+3x^3-6x^2-3x+2

因式分解2x^4+3x^3-6x^2-3x+2
因式分解2x^4+3x^3-6x^2-3x+2

因式分解2x^4+3x^3-6x^2-3x+2
2x^4+3x^3-6x^2-3x+2
=2(x^4+1)+3x(x^2-1)-6x^2
=2(x^4+1-2x^2)+3x(x^2-1)-6x^2+4x^2
=2(x^4+1-2x^2)+3x(x^2-1)-2x^2
=2(x^2-1)2+3x(x^2-1)-2x^2
=[2(x^2-1)-x](x^2-1+2x)
=(2x^2-2-x) (x^2-1+2x)