Today, we have a nice addition to the questions about synthetic division and complex numbers.
Difficulty: Easy, but the "three solutions must be positive" is a nice twist on this.
Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2013
answer 25, answer 26. Published 4/29.