Applying Rational Zero Test Then Find All of the Zeros

The video tutorial explains how to find rational zeros of a polynomial function. It begins with an introduction to the concept and the importance of understanding zeros beyond using technology. The rational zero test is explained, followed by a discussion on factoring techniques and their limitations. The tutorial then demonstrates using synthetic division and the remainder theorem to verify potential zeros. Finally, graphing is used to visualize the function, and the process is concluded with a summary of the findings.

What is the purpose of the rational zero test in finding the zeros of a polynomial?

What are the factors of the constant and leading coefficient in the rational zero test?

What steps would you take if the rational zero test indicates no rational zeros?

What are the possible rational zeros for the polynomial given in the text?

Describe the process of verifying potential rational zeros using the remainder theorem.

Explain how synthetic division is used to find the zeros of a polynomial.

How can technology assist in finding the zeros of a polynomial?