Investigations of Graph Polynomials Mirk o Visontai A THESIS
F.IF.C.7c Aim: To classify polynomials and to graph ... 2 Chapter 5 Notes.pdf · to graph...
Transcript of F.IF.C.7c Aim: To classify polynomials and to graph ... 2 Chapter 5 Notes.pdf · to graph...
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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