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 State an equation for the following polynomial:.

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Presentation on theme: " State an equation for the following polynomial:."— Presentation transcript:

1  State an equation for the following polynomial:


3  End Behavior  Turns or “Bumps” for each polynomial  Investigate Roots

4 Leading CoefficientDegreeEnd Behaviors Positive Negative Positive Negative End BehaviorDegree Even Odd

5  Polynomial solutions are made up of complex roots  A root is where the polynomial’s graph will intersect with the x-axis  A complex root describes two different types of roots: › Real Roots › Imaginary Roots (we will get to these next week)

6  We classify the type of Real Root based on the degrees of each term and how it interacts with the x-axis.  Types: › Single Root › Double Root › Triple Root › And so on…

7  Single Roots

8  Double Roots

9  Triple Roots

10  Classify each type of root:





15  What determines the number of turns the graph of a polynomial will have? › End Behavior › Degree of the Leading Term › Degrees of each factor, or the types of roots  The maximum number of turns a polynomial can have is (n-1) where n is the degree of the leading term

16  On the worksheet from Thursday: › Describe the end behavior using the correct math notation › Circle each root on the graph. › Label each root as single, double or Triple.

17  edscience/2013/10/600-grey-goblin.gif edscience/2013/10/600-grey-goblin.gif

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