x4+7x3+14x2+7x+1

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x4+7x3+14x2+7x+1x4+7x3+14x2+7x+1x4+7x3+14x2+7x+1原式=x^4+2x^2+1+7x^3+7x-2x^2+14x^2=(x^2+1)^2+7x(x^2+1)

x4+7x3+14x2+7x+1
x4+7x3+14x2+7x+1

x4+7x3+14x2+7x+1
原式=x^4 +2x^2+1+ 7x^3 +7x -2x^2+14x^2
=(x^2+1)^2+7x(x^2+1)+12x^2
=(x^2+1+3x)(x^2+1+4x)
=(x^2 +3x+1)(x^2+4x+1)