I get really annoyed when questions ask you to sketch stuff, like am doing maths and i'm supposed to be able to do art! (Rofl)
Anyway, I'm not sure on this question:
By sketching the graph of show that
has two negative real roots and no postitive real roots. Show also that has no purely imaginary roots.
Using the argument principle, determine in which quadrants of the complex plane the two complex roots lie.