Unit 4 L1
Presentation
•
Mathematics
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12th Grade
•
Practice Problem
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Medium
Brianna Duerksen
Used 1+ times
FREE Resource
10 Slides • 9 Questions
1
Unit 4 Lesson 1 and 2
Reviewing Factoring
In this lesson, you will review X-factoring and GCF factoring. There are videos you should watch throughout!
Look at the nice cherry blossoms ----->
2
Find the largest exponent!
And look at these animals? Which is your favorite?
I think I like the fox best :)
Degree
First, look at your degree. If it is an even number, end behavior is either up up or down down. If the front number is negative, down down. If the front is positive, up up.
End Behavior
First, look at your degree. If it is an odd number, end behavior is either down up or up down. If the front number is negative, up down. If the front is positive, down up.
End Behavior
3
Multiple Choice
State the degree and end behavior of this function:
3x2+2x−8
Write the answers on your paper too!
Degree 2
End Behavior
Up Up
Degree 3
End Behavior
Up Up
Degree 2
End Behavior
Down Down
4
Multiple Choice
State the degree and end behavior for this function
x2−12x+36
Degree 2
End Behavior Up up
Degree 2
End Behavior Down up
5
Categorize
3x2+75
25x2−50x
x2−7x+18
x3+2x2+7x+14
2x4+10x3+12x2
Organize these options into the right categories
6
Categorize
3x2+75
25x2−50x
2x4+10x3+12x2
x2−7x+18
x3+2x2+7x+14
7
Let's Review GCF
Greatest Common Factor
This could be a number that all terms can be divided by.
It could also be a variable, like x because all terms include that variable.
When we factor with GCF, we divide all terms by the GCF.
Numbers divide numbers. X reduces the exponent.
8
3x2+75
Method: GCF
Factored expression: 3(x2+25)
No x-intercepts. This is a concave up parabola shifted up 25 units. There are no x-intercepts so we have 2 imaginary solutions.
9
Multiple Choice
What is the GCF for 25x2−50x ?
Hint: this can be re-written as
25⋅x⋅x−25⋅2⋅x
GCF= 25x
Factored Form:
25x(x−2)
GCF is 25
Factored Form:
25(x2−2x)
10
25x2-50x
Method: GCF
Factored form: 25x (x-2)
This has two factors of x so it has 2 x-intercepts. We can find them with algebra by switching sign of the factors or by graphing and finding x intercepts.
Location: x=0 and x=2 No imaginary zeros
11
Multiple Choice
What is the GCF of
x2−12x+36
GCF=2
GCF=6
no GCF
12
Not every expression has a GCF! We need another method.
X-Factoring!
You should have a quadratic expression (degree 2).
Identify a, b, and c.
Multiply a *c.
Find all the factors of this value.
Choose the one factor pair that add/subtract to give you b value.
13
x2+7x+12
This is quadratic with no GCF. Lets x-factor.
a=1 b=7 c=12
a*c= 12
Factors of 12: 1*12 or 2*6 or 3*4
Which factors add to be 7? 3 and 4!
Factored expression: (x+3)(x+4) Location of x-intercepts x=-3 and x=-4
14
Multiple Choice
Factor
x2−12x+36
(x+6)(x+6)
(x-6)(x-6)
(x+6)(x-6)
15
x2-12x+36
This is quadratic with no GCF. Lets x-factor.
a=1 b=-12 c=36
a*c= 36
Factors of 12: 1*36 or 2*18 or 3*12 or 4*9 or 6*6
Which factors add to be 12? -6 and -6
Factored expression: (x-6)(x-6) Location of x-intercepts x=6 with multiplicity. No imaginary zeros!
16
x2-7x+18
This is quadratic with no GCF. Lets x-factor.
a=1 b=-7 c=18
a*c= 18
Factors of 12: 1*18 or 2*9 or 3*6
Which factors add (or subtract) to be -7?
17
Multiple Choice
Factor
x2−7x+18
(x+2)(x+9)
(x+2)(x-9)
(x+9)(x-2)
18
Multiple Choice
Factor:
2x4+10x3+12x2
Hint: First find GCF. Then X factor.
2x2(x+3)(x+2)
2x2(x+5)(x+1)
19
You should have several rows completed.
Row 1 and Row 4 are both blank. We will discuss in class.
Now consider what equivalent means. How do we prove equivalence? With algebra we can factor or multiply. With a graph, what can we look for?
Answer the question on the bottom of your paper!
Unit 4 Lesson 1 and 2
Reviewing Factoring
In this lesson, you will review X-factoring and GCF factoring. There are videos you should watch throughout!
Look at the nice cherry blossoms ----->
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