A26­2Notes.notebook
February 22, 2016
Algebra 2
Ch.6 Notes Page 29
P29 6­2 Polynomials and Linear Functions
Aug 19­6:20 AM
Writing Polynomials in Standard Form
Factored Form = (x + 1)(x + 2)(x + 3)
Where are the Zeros or (X­Intercepts)?
Distribute and Simplify
(x + 1)(x + 2)(x + 3)
Oct 17­9:16 AM
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A26­2Notes.notebook
February 22, 2016
Writing Polynomials in Factored Form
(Use Factoring Patterns from Ch.5)
2x3 + 10x2 + 12x
6x3 ­ 15x2 ­ 36x
Oct 26­9:11 AM
Finding Relative Maximums and Minimums of a Function
Graphing Calculator
A Relative Max or Min is the largest or smallest y value within a given region of the graph of the function.
x(x ­ 3)(x + 2)
Oct 26­9:24 AM
2
A26­2Notes.notebook
February 22, 2016
Word Problem
A rectangluar box can have a length that is 10in greater than its depth. To meet shipping requirements, the sum of the length, width, and depth cannot exceed 40in.
Find a function that relates Volume to Depth.
Find the X­Intercepts (Zeros) of the Function.
Find the Maximum Volume of the Box.
D = L = W =
Oct 26­9:15 AM
Finding Zeros
Use Zero Product Property
(x ­ 2)(x + 1)(x + 3)
Zeros = Oct 26­9:35 AM
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A26­2Notes.notebook
February 22, 2016
Writing a Function from its Zeros
Zeros = ­2, 3, 4
(x )(x )(x )
Oct 26­9:37 AM
Multiplicity of Zeros
A Repeated Value that gives you same Zero...
(x + 1)(x ­ 3)(x ­ 3)
Zeros are ­1 and 3
3 has a multiplicity of 2
Oct 26­9:41 AM
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A26­2Notes.notebook
February 22, 2016
HW #30
6­2 P317 #1,2,5,7,8,10,13,15ab,19­22,29,30,32,36
Please put your name and class period at the top of
the homework. Also include the homework number.
Aug 19­6:25 AM
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