法师大元帅幻化:X的5次方+X-1怎么因式分解
来源:百度文库 编辑:高校问答 时间:2024/05/20 23:02:28
如题
加x^2-x^2
得x^5+x^2-(x^2-x+1)
=x^2(x^3+1)-(x^2-x+1)
=x^2(x+1)(x^2-x+1)-(x^2-x+1)
=(x^2(x+1)+1)*(x^2-x+1)
=(x^3+x^2-1)*(x^2-x+1)
楼上的答案不错
加x^2-x^2
得x^5+x^2-(x^2-x+1)
=x^2(x^3+1)-(x^2-x+1)
=x^2(x+1)(x^2-x+1)-(x^2-x+1)
=(x^2(x+1)+1)*(x^2-x+1)
=(x^3+x^2-1)*(x^2-x+1)
楼上的答案不错