Algebra 2

1
Algebra 2 Ch.6 Notes Page 45 P45 6-2 Polynomials
and Linear Functions
2
Writing Polynomials in Standard Form
Factored Form (x 1)(x 2)(x 3) Where are
the Zeros or (X-Intercepts)?
Distribute and Simplify (x 1)(x 2)(x 3)
3
Writing Polynomials in Factored Form (Use
Factoring Patterns from Ch.5)
2x3 10x2 12x
6x3 - 15x2 - 36x
4
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)
5
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 X-Intercepts (Zeros) of the
Function. Find the Maximum Volume of the Box.
D L W
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Finding Zeros Use Zero Product Property
(x - 2)(x 1)(x 3) Zeros
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Writing a Fuction from its Zeros
Zeros -2, 3, 4 (x )(x )(x )
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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
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HW 44 6-2 P317 1,2,5,7,8,10,13,15ab,19-22,29,30
,32,36 Please put your name and class period at
the top of the homework. Also include the
homework number.