Đáp án+Giải thích các bước giải:
`(x^16+x^11+1):(x^2+x+1)`
Ta có: `x^16+x^11+1`
`=x^16-x^15+x^14-x^12+x^11-x^9+x^8-x^6+x^5-x^2+x+x^15-x^14+x^13-x^11+x^10-x^8+x^7-x^5+x^4-x^2+x+x^14-x^13+x^11-x^10+x^9-x^7+x^6-x^4+x^3-x+1)`
`=x^2(x^14-x^13+x^12-x^10+x^9-x^7+x^6-x^4+x^3-x+1)+x(x^14-x^13+x^12-x^10+x^9-x^7+x^6-x^4+x^3-x+1)+(x^14-x^13+x^11-x^10+x^9-x^7+x^6-x^4+x^3-x+1)`
`=(x^2+x+1)(x^14-x^13+x^11-x^10+x^9-x^7+x^6-x^4+x^3-x+1)`
`=>(x^2+x+1)(x^14-x^13+x^11-x^10+x^9-x^7+x^6-x^4+x^3-x+1):(x^2+x+1)`
`=x^14-x^13+x^11-x^10+x^9-x^7+x^6-x^4+x^3-x+1`
`=>x^16+x^11+1\vdots x^2+x+1`