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

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-