Question

Resolva a inequação produto:

(x² - 2x - 3) (2x² - 5x + 2) < 0

Answer 1

(x² - 2x - 3) (2x² - 5x + 2) < 0 

q=x²-2x-3
raízes ==>x'=3   , x''=-1
q++++++++++++(-1)---------------(3)+++++++++++++

p=2x²-5x+2
raízes  ==>x'=2  e x''=1/2
p++++++++++++(1/2)--------------(2)++++++++++++++

Estudo de sinais:
q+++++(-1)------------------------------------(3)+++++++++++++
p++++++++++(1/2)------------------(2)+++++++++++++++++
q*p+++(-1)-----(1/2)++++++++++(2)----(3)++++++++++++++

Resposta:  (-1,1/2) U (2,3)