A multiplying polynomial quiz is a worksheet with a selection of questions that will test your knowledge of how to multiply polynomials. While performing an algebra project such as this, it is important to note that two negative numbers multiplied by each other equates to a positive number. In addition, when multiplying two numbers with exponents, the exponents are added up when equating your final sum. In addition, multiplying polynomial questions also will test your ability to identify equivalent polynomials in different forms.
Another potential project with respect to polynomials could be doing research with regards to polynomials in two variables. If you decide to undertake this algebra project, there are several questions you can ask yourself that will help you flesh out the project and topic. What two variable polynomials can be inverted under a basic composition? While this question may be complex, the book "Complex Polynomials" by Terry Sheil-Small has an entire chapter devoted to two-variable Polynomials.
Orthoganal polynomials can occur when two distinct polynomials are either uncorrelated or perpendicular. With respect to an orthoganal polynomial algebra project, you can research the difference between polynomials on closed intervals and polynomials with different weights. Try researching traditional orthoganal polynomials in order to get a feel for the various types of equations and projects you can create with this unique mathematic relationship. In addition, you can do a project on the actual history and discovery of orthoganal polynomials.
In addition to executing algebra projects on the history and function of polynomials, studying the dynamics of polynomials could make for an engaging and interesting algebra project. To further elaborate on dynamial systems, you can define Sarkovskii's Theorem as well as focus on closed interval problems. A book that will help you research this algebra project is "An Introduction to Chaotic Dynamical Systems" by Robert L. Devaney.