Question

因式分解试题

因式分解：x8+x7+1 x5+x+1

Answer 1

【不好意思，看到题目时太晚了】

1）x8+x7+1
=x^8+x^7+x^6-x^6+1【^8就是八次方的意思，其他依次类推】

=(x^8+x^7+x^6)-(x^6-1)

=x^6(x²+x+1)-(x³+1)(x³-1)

=x^6(x²+x+1)-(x³+1)[(x-1)(x²+x+1)]

=(x²+x+1)[x^6-(x³+1)(x-1)]

=(x²+x+1)[x^6-(x^4-x³+x-1)]

=(x²+x+1)(x^6-x^4+x³-x+1)

2）x^5+x+1
=(x^5-x²)+(x²+x+1)
=x²(x³-1)+ (x²+x+1)
=x²(x-1)(x²+x+1)+ (x²+x+1)
=(x²+x+1)[x²(x-1)+1]
=(x²+x+1)(x³-x²+1)

【希望对你有帮助】

Answer 2

x8+x7+1 x5+x+1
啥意思