This Computer Algebra System (CAS) activity encourages students to investigate polynomial division, the Remainder Theorem, and the Factoring Theorem.
Before the Activity
See the attached PDF file for detailed instructions for this activity Print pages 1 - 3 from the attached PDF file for the class
During the Activity
Distribute the pages to the class.Review the PropFrac and Expand-key methods that can be used to divide polynomials
Find the remainder of this division
Examine the relationship between the value of the polynomial, the linear factor, and the polynomial division
Enter the polynomial expression and use different denominators to divide the polynomial
Generalize the results for all linear divisors
Enter a polynomial and factorize it
Follow the Activity procedures:
After the Activity
Students' answer questions on the Activity sheet.
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary
Review student results: