

Graphing Polynomials in Factored Form
Presentation
•
Mathematics
•
11th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 29 Questions
1
Reteach Graph Polynomials in Factored Form
I can graph polynomial functions and identify key features including zeros, y-intercepts & end behavior
2
3
Multiple Choice
What is the leading coefficient?
f(x)= -5(x+3)2(x-1)(x+5)
Is it + or - ?
2
Positive
-1
Negative
-5
Negative
5
positive
4
Multiple Choice
What is the leading coefficient?
f(x)=(x+5)(x+1)(x-3)
Is it + or - ?
1
Positive
-1
Negative
-5
Negative
5
positive
5
Multiple Choice
What is the leading coefficient?
f(x)= -x(x+1)2(x-5)
Is it + or - ?
1
Positive
-1
Negative
-5
Negative
5
positive
6
7
Multiple Choice
What is the degree of the polynomial?
f(x)= -5(x+3)2(x-1)(x+5)
Is it EVEN or ODD?
Degree 4
Even
Degree 2
Even
Degree 3
Odd
Degree 5
Odd
8
Multiple Choice
What is the degree of the polynomial?
f(x)= (x+5)(x+1)(x-3)
Is it EVEN or ODD?
Degree 4
Even
Degree 2
Even
Degree 3
Odd
Degree 5
Odd
9
Multiple Choice
What is the degree of the polynomial?
f(x)= -x(x+1)2(x-5)
Is it EVEN or ODD?
Degree 2
Even
Degree 3
Odd
Degree 4
Even
Degree 5
Odd
10
Draw the
end behavior
11
Draw the
end behavior
12
Multiple Choice
What is the end behavior of the following graph
f(x)= -5(x+3)2(x-1)(x+5)
Is the leading coefficient + or - ?
Is the degree EVEN or ODD?
13
Multiple Choice
What is the end behavior of the following graph
f(x) =(x+5)(x+1)(x-3)
Is the leading coefficient + or - ?
Is the degree EVEN or ODD?
14
Multiple Choice
What is the end behavior of the following graph
f(x) = -x2(x+1)2(x-5)
Is the leading coefficient + or - ?
Is the degree EVEN or ODD?
15
Multiple Choice
What is the end behavior of the following graph
f(x) = 7x3 + 2x - 12
16
Poll
Learning Target Check In
I can identify key features including end behavior
I can do this with some help
I can do most of this but I have questions
I can do this by myself
I can do this well enough to teach it to someone else
17
Multiple Choice
What is the leading coefficient?
+
Positive
-
Negative
Neither
18
Multiple Choice
What is the degree?
EVEN
ODD
Neither
19
Multiple Choice
What is the y-intercept?
-1
2
1
-4
4
20
Multiple Select
What are the x-intercept?
Choose all that apply
-1
2
1
-4
4
21
Multiple Choice
Does it bounce or cross at x=4?
bounce
cross
neither
22
Multiple Select
Which x-intercept bounces?
Choose all that apply
-1
2
1
-4
4
23
Multiple Select
Write the equation to the graph in factored form.
Click all factors that apply
(x+4)
(x+1)
(x+1)2
(x-2)
(x-4)
24
Multiple Choice
What is the degree?
2
3
4
5
6
25
Multiple Select
2.) f(x)= -(x+4)2(x-2)2
LEADING COEFFICIENT: + or -
DEGREE: Even or Odd
+
Positive
-
Negative
2
Even
4
Even
26
Multiple Choice
2.) f(x)= -(x+4)2(x-2)2
What is the end behavior of the following graph?
27
28
Multiple Choice
2.) f(x)= -(x+4)2(x-2)2
What is the y-intercept?
64
-64
8
-16
16
29
Poll
Choose the picture that describe your feeling about finding the y-intercept
30
Multiple Select
2.) f(x)= -(x+4)2(x-2)2
What are the x-intercept?
Choose all that apply
-2
2
-4
4
8
31
Multiple Choice
2.) f(x)= -(x+4)2(x-2)2
Does the x-intercept x=-4
bounce or cross the x-axis?
cross
bounce
32
Multiple Choice
2.) f(x)= -(x+4)2(x-2)2
Does the x-intercept x=2
bounce or cross the x-axis?
cross
bounce
33
Draw
2.) Sketch the graph
34
Poll
Did you graph it correctly?
Yes
No
35
Poll
Learning Target Check In
I can graph polynomial functions and identify key features including zeros(x-intercepts), y-intercepts & end behavior
I can do this with some help
I can do most of this but I have questions
I can do this by myself
I can do this well enough to teach it to someone else
36
YOUR TURN
Reteach Graph Polynomials in Factored Form
I can graph polynomial functions and identify key features including zeros, y-intercepts & end behavior
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