Đáp án:
`a)(x^3-x^2+1)(x^2+x+1)`
`b)(x^3-x+1)(x^2-x+1)`
Giải thích các bước giải:
`a)x^5+x+1`
`=x^5+x^4-x^4+x^3-x^3+x^2-x^2+x+1`
`=(x^5-x^4+x^2)+(x^4-x^3+x)+(x^3-x^2+1)`
`=x^2(x^3-x^2+1)+x(x^3-x^2+1)+(x^3-x^2+1)`
`=(x^3-x^2+1)(x^2+x+1)`
`b)x^5+x^4+1`
`=x^5+x^4+x^3-x^3+x^2-x^2+x-x+1`
`=(x^5-x^3+x^2)+(x^4-x^2+x)+(x^3-x+1)`
`=x^2(x^3-x+1)+x(x^3-x+1)+(x^3-x+1)`
`=(x^3-x+1)(x^2-x+1)`
