Question

(x-2)^3×(x+1)×(x-1)^2×(x^2+2x+5)<0

Answer 1

$(x-2)^3(x+1)(x-1)^2(x^2+2x+5) textless 0\x=2\x=-1\x=1\x^2+2x+5=0\D textless 0\--(+)----(-)--*---(-)----(+)----\----(-1)-----(1)-----(2)-----$
x∈(-1;1)∪(1;2)