作业帮因式分解x^15+x^12+x^9+x^6+x^3+1
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/09 00:49:06
因式分解x^15+x^12+x^9+x^6+x^3+1
因式分解x^15+x^12+x^9+x^6+x^3+1
因式分解x^15+x^12+x^9+x^6+x^3+1
x^15+x^12+x^9+x^6+x^3+1
=x^12(x³+1)+x^6(x³+1)+(x³+1)
=(x^12+x^6+1)(x³+1)
=(x^12+x^6+1)(x+1)(x²-x+1)
如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”
x^15+x^12+x^9+x^6+x^3+1
=x^12*(x^3+1)+x^6*(x^3+1)+(x^3+1)
=(x^3+1)(x^12+x^6+1)
x^15+x^12+x^9+x^6+x^3+1
=x^12(x^3+1)+x^6(x^3+1)+x^3+1
=(x^12+x^6+1)(x^3+1)
=(x+1)(x^2-x+1)(x^12+x^6+1)