因式分解x4+2x+1

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/12 22:14:45

因式分解x4+2x+1

x^4+2x+1
=x^4-1+2x+2
=(x^2+1)(x+1)(x-1) + 2(x+1)
=(x+1){(x^2+1)(x-1) + 2}
=(x+1){(x^3-x^2+x-1+2}
=(x+1)(x^3-x^2+x+1)

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