Find all the Zeros by Factoring a Polynomial to the 4th Power

The video tutorial discusses solving the equation X^4 - 625 by factoring. The instructor initially considers using the rational zero test and graphing but finds them cumbersome. Instead, the focus shifts to factoring, specifically using the difference of squares method. The equation is rewritten as a product of squares, and the zeros are found using the zero product property. The tutorial emphasizes the importance of recognizing factoring opportunities, especially with two or four terms, and concludes with a reminder to always consider factoring as a problem-solving strategy.

What is the expression that the teacher starts with to find the zeros?

How does the teacher suggest verifying the zeros found?

Explain the difference of two squares and how it applies to the expression given in the video.

What are the zeros found by the teacher for the expression discussed?

What advice does the teacher give regarding factoring problems?