Graphing Polynomial Functions Flip BookThis flip book was created to be used as a stations activity to provide extra practice with graphing polynomial functions and identifying the following key characteristics:Turning Points (Relative Minimum and Relative Maximum), Increasing Intervals, Decreasing Intervals, Parent Function, End Behavior, Zeroes, Domain, and Range.There are 8 functions in the book.
Example of finding the characteristic polynomial and its factorization in a Diagonalization problem.
Students will find all zeros of 10 different polynomial functions. They will then match their answer to a characteristic of the snowman and color him correctly. Students should be able to solve equations, use synthetic division, use the quadratic formula, and solve problems using imaginary numbers.
Do you ever get the question: "How does this math apply to real-life?" When you cover the unit on the Characteristics of Polynomials you can provide a true representation of a real-life scenario for the students to apply their teachings. Students will be able to gain not only a deeper understanding of interpreting a graph, but how it applies to the construction of a real roller coaster that they have seen at any amusement park. The students will work together to create their own unique…
Arthur Cayley (Richmond, 1821) postulated the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial, and verified it for matrices of order 2 and 3. He was the first to define the concept of a group in the modern way—as a set with a binary operation satisfying certain laws. Cayley's theorem is named in his honour.