2.6 Find Rational Zeros Pg. 89.

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2.6 Find Rational Zeros Pg. 89.

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2.6 Find Rational Zeros Pg. 89

Long Division Synthetic Division

Synthetic Division

Synthetic Division Can’t be done!!!

Synthetic Division

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

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!

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

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

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.

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.

2.8 Analyze Graphs of Polynomial Functions Multiplicity

Repeated Zeros of a Polynomial Multiplicity of 1

Repeated Zeros of a Polynomial Multiplicity of 2

Repeated Zeros of a Polynomial Multiplicity of 3

End behavior

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.

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.

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