How to Find All of the Zeros Including Complex When Given a Polynomial

The video tutorial covers finding zeros of a polynomial using various methods. It starts with the fundamental theorem of algebra, explaining the possible combinations of real and complex zeros. The instructor then discusses sign changes to determine real zeros and introduces the rational zero test. Synthetic division is used to find zeros, and the quadratic formula is applied to find complex zeros. The tutorial emphasizes understanding the process and using tools like graphing calculators to verify results.

What steps would you take if you do not have graphing technology to find zeros?

What are the factors of the polynomial if one of the zeros is 1?

How do you apply the quadratic formula to find the remaining zeros?