4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
Task 4.1
Learning Targets:
4A - I can define standard form of a polynomial and give an
example.
4B - I can explain the classification system of polynomials
4C - I can describe the end behavior of the graph of
polynomial function, given roots
Sep 16­10:50 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
I) Polynomials in Standard Form
A) Definitions
1) Polynomial 2) Degree 3) Standard Form
Sep 14­12:35 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
I) Polynomials in Standard Form
A) Vocabulary
1) Polynomial - A monomial or a sum of monomials.
2) Degree - The exponent with the highest value in a
polynomial.
3) Standard Form - A polynomial written with terms in
descending order by degree.
Sep 14­12:35 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
B) Classifying Polynomials (first name, last name)
1) By degree (first name)
2) By # terms (last name)
Sep 14­12:35 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
C) Examples
Sep 14­12:35 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
Oct 18­11:30 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
II) End Behavior of Polynomials
A)
Think! Which polynomials have you already
learned about?
Aug 21­10:02 PM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
Oct 18­11:57 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
B) Parent Functions of Polynomials
1) We've talked about f(x) = x2, now we will focus on 2
other polynomials:
a) Cubics
b) Quartics
Sep 14­12:35 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
2) Sketch of Polynomial functions
Sep 14­12:35 AM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
C) Think! What is the difference between the
graphs of functions with even degrees vs odd
degrees?
Aug 21­10:02 PM
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4.1 Classifying Polynomials v1 20131017 (period 4).notebook
October 18, 2013
Oct 18­10:46 AM
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