x^7+1
=x^7+x^4-x^4+1
=x^4(x^3+1)-(x^2-1)(x^2+1)
=x^4(x+1)(x^2-x+1)-(x+1)(x-1)(x^2+1)
=(x+1)(x^6-x^5+x^4-x^3+x^2-x+1)
模2加,x7+1因式分解 怎么进行分解呢
x^7+1
=x^7+x^4-x^4+1
=x^4(x^3+1)-(x^2-1)(x^2+1)
=x^4(x+1)(x^2-x+1)-(x+1)(x-1)(x^2+1)
=(x+1)(x^6-x^5+x^4-x^3+x^2-x+1)