分解因式X＾5+X＾4+X＾3+X＾2+X＾+1
X＾5+X＾4+X＾3+X＾2+X＾+1
根据提意x^5+x^4+x^3+x^2+x+1 =x^4(x+1)+x^2(x+1)+x+1 =(x+1)(x^4+x^2+1) =(x+1)[(x^2+1)^2-x^2] =(x+1)(x^2+1+x^2)(x^2+1-x^2) =(x+1)(2x^2+1)