因式分解:2x^4-x^3+6x^2-x+6

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/27 05:12:21
因式分解:2x^4-x^3+6x^2-x+6因式分解:2x^4-x^3+6x^2-x+6因式分解:2x^4-x^3+6x^2-x+62x4-x3-6x2-x+2=x^2(2x^2-x-6)-(x-2)

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

因式分解:2x^4-x^3+6x^2-x+6
2x4-x3-6x2-x+2
=x^2(2x^2-x-6)-(x-2)
=x^2(2x+3)(x-2)-(x-2)
=(x-2)[x^2(2x+3)-1]
=(x-2)(2x^3+3x^2-1)
=(x-2)[(2x^3+2x^2)+(x^2-1)]
=(x-2)[2x^2(x+1)+(x+1)(x-1)]
=(x-2)(x+1)(2x^2+x-1)
=(x-2)(x+1)(2x-1)(x+1)
=(x+1)^2(x-2)(2x-1)