This unit of instruction involves working with equations that have higher order degrees, finding zeros and working with analyzing the graphs of these polynomials.
Polynomial functions are used to model more complex real-world situations, for instance, the amount of energy produced from a turbine.
5.1 Video 1: Explanation of End Behavior Graphically
5.1 Video 2: Another explanation of End Behavior Graphically/Algebraically
5.1 Video 3: Explanation of what the Degree tells us about a Function
5.1 Video 4: More Explanation of what the Degree tells us about a Function
5.2 Video 1: Explanation of how to graph a polynomial (very informative!) This guy has the best voice!
5.2 Video 2: Explanation of how to find the relative max and min of a polynomial using the TI-nspires.
5.2 Video 3: Explanation of how to find the relative max and min of a polynomial using the TI-84.
5.3 Video 1: Explanation of how to factor difference and sum of cubes.
5.3 Video 2: Our favorite guy again! Explanation of how to factor difference and sum of cubes as well as some other special products.
5.3 Video 3: Explanation of how SOLVE polynomials by various factoring techniques.
5.4 Video 1: Explanation of how Synthetic Division Works.
5.4 Video 2: Another Explanation of how Synthetic Division Works. (An ad may come up first...)
5.4 Video 3: Another Explanation of how Synthetic Division Works.
5.5 Video 1: Explanation of how the Rational Root Theorem works. (Our favorite guy again!)
5.5 Video 2: Explanation of how the Rational Root Theorem works then how Synthetic Division is used to find the roots.
5.7 Video 1: Explanation of how the Binomial Theorem is used to expand binomials.
5.7 Video 2: Another explanation of how the Binomial Theorem is used. Some more difficult examples too
5.7 Video 3: Our favorite guy again with an explanation of how the Binomial Theorem is used. Its a little long but really shows why we need this method.