# Characteristic Polynomial

Example of finding the characteristic polynomial and its factorization in a Diagonalization problem.

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A Heuristic Quasi-Polynomial Algorithm for Discrete Logarithm in Finite Fields of Small Characteristic

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Redefinition of Words: Racism An article about the redefinition and abuse of the word Racism.

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.

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.

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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…

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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.

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