1. We studied polynomial division in this unit. Please discuss polynomial long division and synthetic division and how they compare. Then provide one example that you work through for long division and one example for synthetic division. 2.While in Unit 4, we learned several theorems of algebra including: the fundamental theorem of algebra, rational root theorem, factor theorem and remainder theorem. Discuss the basics of each of these 4 theorems.
3.Lastly, we discussed graphing a polynomial. Please discuss the basic steps for graphing a polynomial. Be sure to include end behavior, leading coefficient, multiplicities, and x and y intercepts. Please choose a polynomial with a degree of 3 or higher to walk through all steps to graph that polynomial.