x^7+x^5+1因式分解,要过程,详细点,请高手解答

2025-02-26 08:26:22
推荐回答(2个)
回答1:

x^7+x^5+1
=(x^7+x^6+x^5)+(1-x^6)
=x^5(x^2+x+1)+(1+x^3)(1-x)(1+x+x^2)
=(x^2+x+1)(x^5-x^4+x^3-x+1)

回答2:

x^7+x^5+1
=(x^7+x^6+x^5)+(1-x^6)
=x^5(x²+x+1)+(1+x³)(1-x)(1+x+x²)
=(x²+x+1)(x^5-x^4+x³-x+1)