Polynomial Functions

QUESTION: Please make a summary that will include important concepts, terminology, and algebraic techniques and procedures. (I recommend a quartic so you can show what needs to be done when you factor once and still don't have a quadratic) that you will use throughout your summary as an example and to make connections. You may also wish to include some other examples to clarify certain points. The format of the summary should be something that will be useful, as I will use it as a reference. Be sure to incorporate graphical representations (hand sketches, Desmos graphs) as to show understanding & connections. Please, your encouraged to use colour / highlighters/thought bubbles etc. to help things stand out. Feel free to be creative.

Here are some key ideas to include :

• The key characteristics of a polynomial function
• How to divide polynomials using the remainder theorem and factor theorem.
• How to factor higher degree polynomials.
• How to graph a polynomial function starting from standard form.
• How to solve to solve a polynomial equation.