This file contains two different resources. The first is guided notes that shows the students how to write a polynomial of least degree given a zero. It also discusses the relationship between factors and zeros. Imaginary zeros are included in this lesson.
The second resource is a homework assignment that can be given the same day that is used to check for understanding.
Both of these resources are part of my Algebra 2 - Unit 3 Polynomial Functions Bundle that is also available for purchase in my store.
Please let me know if you have any questions.