求x^8+x^7+1 因式分解~~~~~~ ^后的数字为次幂数~~~~求解~~~~!

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/18 11:46:07
求x^8+x^7+1因式分解~~~~~~^后的数字为次幂数~~~~求解~~~~!求x^8+x^7+1因式分解~~~~~~^后的数字为次幂数~~~~求解~~~~!求x^8+x^7+1因式分解~~~~~~

求x^8+x^7+1 因式分解~~~~~~ ^后的数字为次幂数~~~~求解~~~~!
求x^8+x^7+1 因式分解~~~~~~ ^后的数字为次幂数~~~~
求解~~~~!

求x^8+x^7+1 因式分解~~~~~~ ^后的数字为次幂数~~~~求解~~~~!
X^8+X^7+1 =X^8+X^7+X^6-X^6+1 =X^6(X^2+X+1)-(X^6-1) =X^6(X^2+X+1)-(X^3+1)(X^3-1) =X^6(X^2+X+1)-(X^3+1)(X-1)(X^2+X+1) =(X^2+X+1)[X^6-(X^3+1)(X-1)] =(X^2+X+1)(X^6-X^4+X^3-X+1)