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

话梅超人2022-10-04 11:39:541条回答

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梅倩娟共回答了27个问题 | 采纳率92.6%: 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); 1年前

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(1)x4-12x+323(2)x4+7x3+14x2+7x+1 ㊣阿北㊣1年前2: 加冰的开水共回答了16个问题 | 采纳率81.3%

(1)x4-12x+323
=(x^4+36x^2+324)-(36x^2+12x+1)
=(x^2+18)^2-(6x+1)^2
=(x^2+6x+19)(x^2-6x+17)
(2) x4+7x3+14x2+7x+1
=(x^4+2x^2+1)+(7x^3+21x^2+7x)-9x^2
=(x^2+1)^2-(3x)^2+7x(x^2+3x+1)
=(x^2+3x+1)(x^2-3x+1)+7x(x^2+3x+1)
=(x^2+3x+1)(x^2+4x+1)

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