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\(\large \color{black}{\begin{align} (x^2+3x+1)(x^2+3x-3)\geq 5\hspace{.33em}\\~\\
\end{align}}\)

.

One dumb method is to expand everything out and factor it again absorbing that 5 on right hand side

x(x+3) +1
x(x+3) -3|dw:1436812802011:dw|

|dw:1436812913492:dw|

u know the rate of increase of both parabolas so u see the first instance they pass pr0duct 5

then from axis of symmetry at 1.5 u can see the other end too

i d k why i am not able to see latex.

reload

reloaded twice.

|dw:1436813832253:dw|

Got you!!:)