x^4+x^2+1怎么因式分解

2024-11-16 10:19:02
推荐回答(2个)
回答(1):

x^4+x^2+1
=(x^4+2x^2+1)-x^2
=(x²+1)²-x²
=[(x²+1)+x][(x²+1-x)]
=(x²+x+1)(x²-x+1)

回答(2):

x^4+x^2+1
=(x^4+2x^2+1)-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)