1.x(x-3)(x+1)(x-2)<0 2.(30+7x-2x²)(x²+1)≤0

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1.x(x-3)(x+1)(x-2)<0 2.(30+7x-2x²)(x²+1)≤0

1.x(x-3)(x+1)(x-2)<0 2.(30+7x-2x²)(x²+1)≤0
1.x(x-3)(x+1)(x-2)<0 2.(30+7x-2x²)(x²+1)≤0

1.x(x-3)(x+1)(x-2)<0 2.(30+7x-2x²)(x²+1)≤0
1.x(x-3)(x+1)(x-2)<0
穿线法:
──╮ ╭────╮ ╭─────
------o-----o----------o-----o------------->
-1╰─╯0 2╰─╯3 x
解集为 (-1,0)U(2,3)
2
.(30+7x-2x²)(x²+1)≤0
x²+1>0恒成立
原不等式即
2x²-7x-30≥0
(2x+5)(x-6)≥0
解得x≤-5/2或x≥6
解集为(-∞.-5/2]U[6,+∞)

1.中左边与X轴有4个交点即4个根为0,3,-1,2
那么<0的范围是(2,3)∪(-1,0)
2.中x²+1恒>0
30+7x-2x²=(6-x)(2x+5)它的两个根为6,-5/2小于等于0的部分为x≥6,或者x≤-5/2

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