Find All the Zeros Using of a Polynomial to the 4th Power

The video tutorial explains how to find zeros of a polynomial using various methods, including the rational zero test and factoring. It highlights the limitations of the rational zero test and demonstrates factoring over rationals and reals. The tutorial concludes with a fully factored polynomial using linear factorization, emphasizing the importance of understanding different approaches to solving polynomial equations.

What is the rational zero test and how is it applied in finding zeros of a polynomial?

What are the steps taken when the rational zeros are not visible on the graph?

Explain the process of factoring a polynomial to find its zeros.

How do you determine the factors of a polynomial when given specific conditions?

What is the significance of the linear factorization theorem in polynomial equations?

Describe the process of solving for zeros of a polynomial using the quadratic formula.

What are the implications of having imaginary numbers when factoring polynomials?