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)