The Fundamental Theorem of Algebra says that every polynomial that doesn’t just stay the same (we call it “non-constant”) has the same number of roots as its degree. This can sound really tough, especially when you get into advanced math.

Let’s break it down:

1. Challenges:

   • Finding complex roots can be hard.
   • Graphs might not always help us see what higher-degree polynomials look like.
   • Working with complex numbers can make things more complicated.

2. Helpful Tips:

   • Try using synthetic division and other number methods to help.
   • Use the quadratic formula for polynomials that are degree two.
   • There are software tools that can help you find roots more easily.