求解?!?!?高悬赏!!
1个回答
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x^5-10x^2+15x-6
=x^5-x^2-9x^2+9x+6x-6
=x^2(x^3-1)-9x(x-1)+6(x-1)
=x^2(x-1)(x^2+x+1)-9x(x-1)+6(x-1)
=(x-1)(x^4+x^3+x-9x+6)
=(x-1)(x^4+x^3-8x+6)
=(x-1)(x^4-x^3+2x^3-2x-6x+6)
=(x-1)[x^2(x-1)+2x(x-1)-6(x-1)]
=(x-1)^2(x^2+2x-6)
=x^5-x^2-9x^2+9x+6x-6
=x^2(x^3-1)-9x(x-1)+6(x-1)
=x^2(x-1)(x^2+x+1)-9x(x-1)+6(x-1)
=(x-1)(x^4+x^3+x-9x+6)
=(x-1)(x^4+x^3-8x+6)
=(x-1)(x^4-x^3+2x^3-2x-6x+6)
=(x-1)[x^2(x-1)+2x(x-1)-6(x-1)]
=(x-1)^2(x^2+2x-6)
更多追问追答
追问
不好意思,忘了说,只能用综合除法!
追答
x^5-10x^2+15x-6
=(x-1)^3(x^2+3x+6)
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