Groups of 3-4 can work on this in the middle of a Polynomial Unit in which they must factor or divide a polynomial to find all of the key features and use technology to create the graph of a higher order polynomial. 4 different problems are
This mixed practice for factoring techniques includes questions for students to consider as they decide which of the following methods to use: Factoring a quadratic trinomial, difference of squares, grouping, or greatest common factor.
This notesheet can help students learn Successive Differences. It also has notes about how to do this in order to find the degree and equation for a polynomial by using technology like Desmos and a graphing calculator.