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分解因式:6x4+7x3-36x2-7x+6.
人气:228 ℃ 时间:2020-03-29 23:57:12
解答
原式=6(x4+1)+7x(x2-1)-36x2
=6[(x4-2x2+1)+2x2]+7x(x2-1)-36x2
=6[(x2-1)2+2x2]+7x(x2-1)-36x2
=6(x2-1)2+7x(x2-1)-24x2
=[2(x2-1)-3x][3(x2-1)+8x]
=(2x2-3x-2)(3x2+8x-3)
=(2x+1)(x-2)(3x-1)(x+3).
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