All possible roots of x^3+2x^2-16x-32

See below.

Step-by-step explanation:

By the rational roots theorem all possible roots are:

+/-1. +/- 2, +/-4 .+/-8, +/-16 and +/-32.

to find all of the roots, you must know that the roots are the intercept with the x-axis. (y=0)

One solution would be x^2 + 0.15861...x-16.29207...~0

x~+4.11643...~0

x~-4.11643...

The final solution is

x~-1.84139...,x~3.95782...,x~-4.11643...

I hope this helped you.