
Factoring GCF and Quadratics
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
4 Slides • 13 Questions
1
GCF Factoring

2
What is the GCF?
GCF stands for Greatest Common Factor. It is the largest number that goes into the numbers in question.
For example: The GCF of 24 and 36 is 12. That's because 12 is the largest number that goes into 24 and 36 evenly.
3
Multiple Choice
What is the GCF of 16 and 20?
2
4
5
16
4
Multiple Choice
What is the GCF of 18, 27, and 36?
2
3
9
18
5
What is factoring?
Factoring is rewriting a polynomial as a product of it's factors.
6
Multiple Select
Which expression represents a FACTORED form? Pick ALL that applies
x2−3x+4
x2(x−3)
(x−3)(x+4)
3x4−5y
7
Factoring out the GCF of a polynomial.
To factor out a GCF from a polynomial we do the following:
1. Find the GCF.
2. Divide the polynomial by the GCF.
3. Rewrite the polynomial as the product of the GCF and the quotient we got when we divided the polynomial by the GCF.
4. Check your work by multiplying.
8
Multiple Choice
What is the GCF of 18x and 15x3
3x2
3x3
3x
5x
9
Multiple Choice
Let's try to factor out GCF 4x3−x
Step 1. Find the GCF.
4
x
3
-1
10
Multiple Choice
x4x3−xx
Step 2. Divide the polynomial by the GCF. What is left?
(4x2−1)
4x2
4
x
11
Multiple Choice
4x3−x
Step 3. Rewrite the polynomial as the product of the GCF and the quotient
x(4x2−1)
4(x3−1)
x+4x2−1
4(x3−1)
12
Multiple Choice
Let's try another one
Factor GCF out of 3x2+6x
Step 1. Find the GCF first
3
6
3x
6x
13
Multiple Choice
3x2+6x
Step 2. Divide each term by GCF
3x3x2+3x6x
(3x+6)
(x+2)
(x+2x)
(x2+2)
14
Multiple Choice
3x2+6x
Step 3: Rewrite the polynomial as the product of the GCF and the quotient
3x(x+6)
3(x2+6)
x(3+6x)
3x(x+2)
15
Multiple Choice
p2 - 14p
16
Multiple Choice
2n2-8n3
17
Multiple Choice
GCF Factoring

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