The video tutorial provides an overview of rational roots in polynomials, discussing key theorems like the Fundamental Theorem of Algebra and the Linear Factorization Theorem. It explains the concept of polynomial roots, both real and imaginary, and introduces methods to find these roots, including factoring and the Rational Zero Test. The tutorial also covers the use of synthetic division and graphing calculators to identify potential rational zeros.

What is the fundamental theorem of algebra and what does it imply about polynomials?

Explain the difference between real roots and imaginary roots in the context of polynomials.

What does the linear factorization theorem state regarding the number of zeros in a polynomial?

What steps can be taken if a polynomial cannot be factored easily?

Describe the rational root test and how it can be applied to find possible rational zeros.

What are the possible rational zeros for a polynomial function based on the rational root test?

How can synthetic division be used to determine if a number is a root of a polynomial?