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F.IF.C.7c

Aim: To classify polynomials and to graph polynomial functions

and describe end behavior.Chapter 5-1

Polynomials

Standard Form

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Degree of a Polynomial

Examples

Turning Points and End Behavior

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Turning Points and End Behavior

End Behavior Rule

Examples

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Cubic Examples

Degree from a Table

Homework

• Workbook Page 119 #1-6, 22-27, 34-35, 120 #36-38, 121 #1-7

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F.IF.C.7c

Aim: To analyze the factored form of a polynomial and write

a function from its zeroes.Chapter 5-2

Factored Form

Roots, Zeroes, and Intercepts

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Examples

Factor Theorem

Repeating Zeroes

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Relative Turning Points

Volume

Homework

• Workbook Page 123 even, 124 #25-29, 125 #1-6

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A.REI.D.11

Aim: To solve polynomial functions by factoring and

graphing.Chapter 5-3

Solve by Factoring

Examples

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Factoring Techniques

Techniques Continued

Examples

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Roots by Graphing

Modeling

Homework

• Workbook Page 127 even, 128 #25-28, 129 #1-6

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A.APR.B.2

Aim: To divide polynomials using long division and synthetic

division.Chapter 5-4

Do Now

Polynomial Division

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Examples

Division Algorithm

Checking Factors

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Synthetic Division

• Synthetic Division simplifies the long division process

Example

Example

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Homework

• Workbook Page 131 #1-20

N.CN.C.7Aim: To solve equations using the

Rational Root Theorem, and to use the Conjugate Root Theorem.

Chapter 5-5

Do Now

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Rational Root Theorem

Examples

Examples

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Conjugate Root Theorem

Examples

Descartes’ Rule of Signs

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Homework

• Workbook Page 135 #1-12, 19-20, 136 #23-26, 137 #1-5

N.CN.C.7Aim: To use the Fundamental Theorem of Algebra to solve

equations with complex solutions.Chapter 5-6

Zeroes Graphically

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The Fundamental Theorem of Algebra

Examples

Using Technology

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Homework

• Workbook Page 139 #1-12, 25-28, 140 #31-34, 141 #1-6

A.APR.C.5

Aim: To expand a binomial using Pascal’s Triangle, and to use the

Binomial Theorem.Chapter 5-7

Pascal’s Triangle

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Using Pascal’s Triangle

Binomial Theorem

Homework

• Workbook Page 143 #1-28 even, 145 #1-7

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F.IF.B.5

Aim: To fit data to linear, quadratic, cubic, or quartic

models.Chapter 5-8

The (n + 1) Point Principle

Example

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Interpolation and Extrapolation

Homework

• Workbook Page 147 even, 149 #1-4

F.BF.B.3

Aim: To apply transformations to graphs of polynomials.

Chapter 5-9

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Transformations

Example

Quartic Functions

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Power Function

Power Function

Homework

• Workbook Page 151 even, 153 #1-5