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x^4+7x^3+14x^2+7x+1因式分解详细过程,

学习时间:2026-04-03 08:13:17 阅读：6591

x^4+7x^3+14x^2+7x+1因式分解详细过程,

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震动的白昼

无聊的宝贝

2026-04-03 08:13:17

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x^4+7x^3+14x^2+7x+1 = x^4+7x^3+12x^2 + 2x^2+7x + 1 = (x^2+3x)(x^2+4x) + x^2+3x + x^2+4x + 1 =(x^2+3x)(x^2+4x+1)+(x^2+4x+1)= (x^2+3x+1)*(x^2+4x+1)

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2026-04-03 08:13:17
x^4+7x^3+14x^2+7x+1 = x^4+7x^3+12x^2 + 2x^2+7x + 1 = (x^2+3x)(x^2+4x) + x^2+3x + x^2+4x + 1 =(x^2+3x)(x^2+4x+1)+(x^2+4x+1)= (x^2+3x+1)*(x^2+4x+1)

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