

Greatest Common Factor Lesson
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
James Gonzalez
FREE Resource
15 Slides • 11 Questions
1
Factoring: The Greatest Common Factor Lesson

2
THE DISTRIVUTIVE PROPERTY
Review
3
4
Examples
Multiply each term inside ( ) by the term in outside
Simplify
5
More Examples
Make sure to check the signs when outside term is negative
The signs of the terms inside ( ) will change
6
Multiple Choice
Simplify the following expression using the distributive property.
9(−5x+8)
45x-72
45x+72
-45x+72
-45x-72
7
Multiple Choice
Which of the following represents the correct use of the distributive property for ....
3⋅x2+2⋅2x +3⋅5
3⋅x2+2x+5
3x2+5x+8
8
Multiple Choice
Simplify
−3(8x2−7x+6)24x2−21x−18
−24x2+21x+18
24x2+21x−18
−24x2+21x−18
9
Reversing the Distributive Property
Facctoring out the GCF
10
What are factors?
Factors are multiplied to produce a larger value or expression.
11
Factor tree
A factor tree show the prime numbers that are multiplied to create a specific value.
Prime numbers...1,2,3,5,7,11,13,19,23,..
12
Finding the GCF between two numbers
To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.
13
14
Multiple Choice
Find the Greatest Common Factor (GCF) of 28 and 40
4
2
8
7
15
Multiple Choice
Find the GCF between 45 and 15
3
5
10
15
16
Multiple Choice
Find the greatest common factor of 72 and 54
5
8
9
13
17
GCF with exponents
The term with the smallest power is the GCF
18
What does it mean "to factor" or to express in a factored form?
Show values or terms that have been multiplied to create a given value or expression.
19
Factoring out the Greatest Common Factor or GCF
1. Identify the Greatest Common Factor (GCF) for each term.
2. Divide each term by the GCF.
3. Write the factored form: GCF(Remaining Terms)
The GCF for the example to the right is
2y2
20
Alternate method
Write each term in expanded form to identify the GCF. The remaining terms are are multiplied and will be inside the ( ) with the GCF outside.
21
Factoring GCF Video Link...copy and paste in search bar
https://www.youtube.com/watch?v=Y1Vd5wb0rnM
22
Fill in the Blanks
Type answer...
23
Multiple Choice
Factor 16x2 + 18x + 12
4(4x2 + 6x + 3)
2(8x2 + 9x + 6)
2x(8x + 9 + 3)
x(16x + 18 + 12)
24
Multiple Choice
Find the complete factored form of 4x3 + 2x2 – 6x.
4x (x2 + x – 3)
2x (2x2 + x – 3)
2x (2x2 + x – 6)
x (4x2 + 2x – 3)
25
Multiple Choice
What is the Greatest Common Factor for the terms in the expression...
x
3
3x
9x
26
Multiple Choice
Write 2n2−8n3 in its factored form.
2n2(n−4n2)
2n2(1−4n)
3n(1−4n)
2n3(10−8n2)
Factoring: The Greatest Common Factor Lesson

Show answer
Auto Play
Slide 1 / 26
SLIDE
Similar Resources on Wayground
18 questions
Rational and Radical Expressions
Presentation
•
9th - 12th Grade
18 questions
Simplifying Square Roots
Presentation
•
9th - 12th Grade
19 questions
One and Two Step Equations REVIEW LESSON
Presentation
•
9th - 12th Grade
21 questions
Radical Equations Notes
Presentation
•
9th - 12th Grade
21 questions
Area of Circles and Sectors and Segments
Presentation
•
9th - 12th Grade
19 questions
Writing Exponential Functions
Presentation
•
9th - 12th Grade
19 questions
Equations of Exponential Functions
Presentation
•
9th - 12th Grade
22 questions
Experimental vs. Observational Studies
Presentation
•
9th - 12th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade