Master Determining all of the solutions of a polynomial given a factor, real rational zero, or root

The video tutorial explains how to determine all solutions of a polynomial when given a factor, zero, or root. It covers the differences between these terms and demonstrates the use of synthetic division to find solutions. The tutorial also explains how to factor polynomials and apply the zero product property to solve for all solutions. Additionally, it addresses handling given zeros and roots, including those involving fractions, and converting them into factors for further solving.

How can you rewrite a polynomial as a product of its linear factors?

Explain how to convert a root into a factor.

What is the relationship between roots and factors of a polynomial?

What are the steps to find all solutions when given a polynomial and a zero?