# Characteristic polynomial

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### Graphing Polynomial Functions Flip Book

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.

For the minimal polynomial of an algebraic element of a field, see Minimal polynomial (field theory). In linear algebra, the minimal polynomial μA of an n × n matrix A over a field F is the monic polynomial P over F of least degree such that P(A) = 0. Any other polynomial Q with Q(A) = 0 is a (polynomial) multiple of μA. The following three statements are equivalent: λ is a root of μA, λ is a root of the characteristic polynomial χA of A, λ is an eigenvalue of matrix A. The…

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…

### Graphing Polynomial Functions Scavenger Hunt

Graphing Polynomial Function Scavenger Hunt Activity - This walk around activity will help students practice identifying the key characteristics of polynomial functions and connecting those characteristics to graphs. Students begin the activity by choosing any one of the graphs posted around the classroom, and the equation of that graph will lead them to the next station.

### Snowman Math Zeros of Polynomial Functions

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.