因式分解 x五次+2x四次+2x3次+4x方+5x+2 =

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因式分解x五次+2x四次+2x3次+4x方+5x+2=因式分解x五次+2x四次+2x3次+4x方+5x+2=因式分解x五次+2x四次+2x3次+4x方+5x+2=x五次+2x四次+2x3次+4x方+5

因式分解 x五次+2x四次+2x3次+4x方+5x+2 =
因式分解 x五次+2x四次+2x3次+4x方+5x+2 =

因式分解 x五次+2x四次+2x3次+4x方+5x+2 =

x五次+2x四次+2x3次+4x方+5x+2
=(x^5+x^4)+(x^4+x^3)+(x^3+x^2)+(3x^2+3x)+(2x+2)
=(x+1)(x^4+x^3+x^2+3x+2)
=(x+1)²(x³+x+2)
=(x+1)²(x+1)(x²-x+2)
=(x+1)³(x²-x+2)