Д
(x-1)(x+1)(x+2)²(x+5)³>0
x=1 x=-1 x=-2 x=-5
_ + + _ +
--------------(-5)--------(-2)-----(-1)--------(1)-----------------
x∈(-5;-2) U (-2;-1) U (1;∞)
е
(x-2)(x+2)(x-2)(x-3)(x+1)^5<0<br>(x-2)²(x+2)(x-3)(x+1)^5<0<br>x=2 x=-2 x=3 x=-1
_ + _ _ +
-------------(-2)-------(-1)--------(2)-----------(3)---------------
x∈(-∞;-2) U (-1;2) U (2;3)
ж
(x²+3)(x-1)³(x+4)³(x-1)³>0
(x²+3)(x+4)³(x-1)^6>0
x²+3>0 при любом х
(x+4)³(x-1)^6>0
x=-4 x=1
_ + +
--------------(-4)-------(1)------------------
x∈(-4;1) U (1;∞)
з
(x²+1)(x²+x+1)(x+5)^5<0<br>x²+1>0 при любом х
x²+x+1>0 при любом х,D=-3<0<br>(x+5)^5<0<br>x+5<0<br>x<-5<br>x∈(-∞;-5)