x2+x4+1 因式分解

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x2+x4+1因式分解x2+x4+1因式分解x2+x4+1因式分解x^4+x²+1=x^4+2x²+1-x²=(x²+1)²-x²=(x&#

x2+x4+1 因式分解
x2+x4+1 因式分解

x2+x4+1 因式分解
x^4+x²+1
=x^4+2x²+1-x²
=(x²+1)²-x²
=(x²+x+1)(x²-x+1)

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

x2+x4+1
=x^4+2x^2+1-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)

x²＋4x＋1＝﹙x＋2﹚²－3
﹙x＋2－√3﹚﹙x＋2＋√3﹚


xx+4x+1
=（x+2）（x+2）-3
=（x+2+√3）（x+2-√3）

原式=x^4+2x^2+1-x^2=(x²+1)²-x²=(x²+1+x)(x²+1-x)

x5-x4 x3-x2 x-1 =x4(x-1) x2(x-1) (x-1) =(x-1)(x4 x2 1) =(x-1)(x4 2x2 1-x2) =(x-1)[(x2 1)2-x2] =(x-

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