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2.6 Find Rational Zeros Pg. 89.

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Presentation on theme: "2.6 Find Rational Zeros Pg. 89."— Presentation transcript:

1 2.6 Find Rational Zeros Pg. 89

2 Long Division Synthetic Division

3 Synthetic Division

4 Synthetic Division Can’t be done!!!

5 Synthetic Division

6 Factoring a Polynomial
Factor given that (x – 3) is a factor

7 Finding Zeros of a Function
Find the other zeros of given that –1 is a zero. Zeros! Roots! Solutions! All of these mean to solve for x!

8 Polynomial TEST: Friday
2.6 Find Rational Zeros Polynomial TEST: Friday

9 History Lesson! Find all real zeros of f(x) = x3 – 7x2 + 14x – 8

10 Example: Find all real zeros of f(x) = 6x3 + 17x2 – 4x – 3
Use graph to confirm one root from the list. Which one? Do synthetic then solve the quadratic.

11 Example: Find all real zeros of f(x) = x3 + 8x2 + 16x + 5
Use graph to confirm one root from the list. Which one? Do synthetic then solve the quadratic.

12

13 2.8 Analyze Graphs of Polynomial Functions
Multiplicity

14 Repeated Zeros of a Polynomial
Multiplicity of 1

15 Repeated Zeros of a Polynomial
Multiplicity of 2

16 Repeated Zeros of a Polynomial
Multiplicity of 3

17 End behavior

18 Factoring a Polynomial by Using Its Graph
Give a possible factorization of the following polynomials. Do NOT multiply out the factors! Be sure to use your knowledge of the Leading Coefficient Test and Repeated Zeros.

19 Factoring a Polynomial by Using Its Graph
Give a possible factorization of the following polynomials. Do NOT multiply out the factors! Be sure to use your knowledge of the Leading Coefficient Test and Repeated Zeros.

20 Homework Pg. 91, 5 – 14 all Pg. 92, 1 – 10 all

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