Polynomials of Higher Degree 2-2. Polynomials and Their Graphs  Polynomials will always be continuous  Polynomials will always have smooth turns.

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Presentation transcript:

Polynomials of Higher Degree 2-2

Polynomials and Their Graphs  Polynomials will always be continuous  Polynomials will always have smooth turns.

End Behavior(leading coefficient test  Odd Power  Positive leading coefficient  Negative leading coefficient  Even Degree  Positive leading coefficient  Negative leading coefficient

Zeros  If f(x) is a polynomial, the following statements are equivalent  X = a is a zero of the function  X = a is a solution to the equation f(x)=0  (x-a) is a factor of the polynomial f(x)  a is an x-intercept of the graph of f(x)

Finding zeros

Analyzing a polynomial

Finding the Zeros of a Polynomial

Repeated Root

Repeated Roots

 Pg 108 # 17-33, 35, 41, 43