Question 1003486
-2x^3 + x^2 -  29x + 17 
positive there are 3 changes, so there can be 3 or 1 positive real roots.
negative 
+2x^3+x^2+29x+17. There are 0 negative roots
That comes from -2(-x^3)+(-x)^2-29(-x)+17, which is 2x^3+ x^2+29x+17

{{{graph(300,200,-10,10,-100,100,-2x^3+x^2-29x+17)}}}
There is one positive root of -0.584 and no negative roots