
GCF and Factoring Polynomials
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
Standards-aligned
Carson Costa
Used 45+ times
FREE Resource
6 Slides • 7 Questions
1
GCF and Factoring Polynomials
By Ms. Costa
2
Guess and check
Use a factor tree and multiply the common prime numbers
Two Methods:
stands for "Greatest Common Factor"
when you have a set of numbers, the GCF is the largest positive integer that divides evenly into all the numbers (or variables)
GCF
First find the GCF
3
Multiple Choice
What is the Greatest Common Factor of 18 and 54?
9
6
54
18
3
4
We multiplied polynomials using distributive property.
Now we can work backward and pull a monomial factor out of a polynomial
Use the distributive property
1.6w2 + 6w
5
Step One: Find the GCF of each term
Step Two: Write each term as a product of the GCF and remaining factors.
Step Three: Distributive Property
27y2 + 18y
6
Step One: Find the GCF of each term
Step Two: Write each term as a product of the GCF and remaining factors.
Step Three: Distributive Property
-4a2b-8ab2+2ab
7
Multiple Choice
15w - 3v
5(3w - 3v)
3w(5 - 3v)
3(5w - v)
3v(5w)
8
Multiple Choice
7u2t2 + 21ut2 - ut
7(u2t2 + 3ut2 - ut)
ut(7ut + 21t - 1)
u(7ut2 + 21t2 - t)
t(7u2t + 21ut - u)
9
10
Multiple Choice
Factor: 3x2 + 4x
x(3x + 4)
3x(x + 4x)
3(x2 +4x)
x2(3+4)
11
Multiple Choice
Can this binomial be factored?
4x2 + 7
Yes
No
12
Multiple Choice
Can this binomial be factored?
5x - 4
Yes
No
13
Multiple Choice
Can this binomial be factored?
x2 + 3x
Yes
No
GCF and Factoring Polynomials
By Ms. Costa
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