Master how to find all of the zeros of a polynomial when given two irrational zeros

The video tutorial explains how to find all zeros of a polynomial, focusing on rational zeros. It covers the use of synthetic division, factoring, and the difference of squares to simplify the process. The tutorial also discusses alternative methods, such as long division, to verify and find additional zeros. The importance of the fundamental theorem of algebra in determining the number of zeros is highlighted.

Explain the process of synthetic division and its importance in finding zeros.

How do you determine if a number is a zero of a polynomial?

What is the first step to take when trying to find the zeros of a polynomial?

Describe how to factor a polynomial once you have found one of its zeros.

What is the significance of the fundamental theorem of algebra in relation to polynomial zeros?

What are the steps to rewrite zeros as factors of a polynomial?

Discuss the difference between synthetic division and long division when dividing polynomials.