

Factoring GCF, Difference of Squares, and Trinomials Review
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
Standards-aligned
Lauren Steele
Used 102+ times
FREE Resource
12 Slides • 9 Questions
1
Factoring GCF, Difference of Squares, and Trinomials Review

2
Factoring a GCF
Lesson 5.1
3
Steps to Factor Using the GCF
Find the GCF of the numbers (use Desmos if you need).
Find the GCF of the variables. If a variable is in EVERY term, use the one with the smallest exponent.
Write the GCF in front of parentheses.
Divide each term in the problem by the GCF (dividing the coefficients and subtracting the exponents), and write the remainder inside the parentheses.
4
Multiple Choice
5x4y2−45xy4+20y2 Try it! Choose the correctly factored problem.
5y2(5x4y−9xy3+8y)
5y2(x5y−9xy4+4y)
20y(x4y−9xy3+4y)
5y2(x4−9xy2+4)
5
Fill in the Blanks
14c2+2c Type your answer with parentheses and NO SPACES.
Type answer...
6
Factoring Difference of Squares
Lesson 5.2
7
Steps to Factor with Difference of Squares
Check to make sure you have a difference of squares! You should have two perfect squares separated by a subtraction sign.
Take the square root of each term.
Write your two factors using the rule: a2-b2 = (a+b)(a-b).
8
Multiple Choice
16x4−9y4 Try it! Choose the correctly factored polynomial.
(4x2−3y2)2
(4x2+3y2)(4x2−3y2)
(16x2+9y2)2
(4x4+3y4)(4x4−3y4)
9
Fill in the Blanks
c2−81d2 Type your answer with parentheses and NO SPACES.
Type answer...
10
Factoring a Trinomial with a=1
Lesson 5.3
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Steps to Factoring Trinomial (a=1)
Trinomial: ax2+bx+c
Goal: Find factors of c that add up to b.
Use the graphic organizer flow chart to figure out the signs of the numbers.
If needed, make a table of possible factors that multiply to your c value. Find the pair that add up to b.
12
Multiple Choice
n2+3n−18 Try it! Choose the correctly factored trinomial.
(n+3)(n−6)
(n+3)(n+6)
(n−3)(n+6)
(n−9)(n+2)
13
Fill in the Blanks
p2−p−20
Type answer...
14
Factoring a GCF First
15
Steps to Factor a GCF out First
Factor the GCF following the same methods as before (find the GCF of the numbers, of the variables, the divide it from each term)
If what is left in parentheses is a difference of squares, factor what is in parentheses using that method. Write the GCF in front.
If what is left in parentheses is a trinomial, factor what is in parentheses using that method. Write the GCF in front.
16
GCF with Difference of Squares
1. Factor out GCF
2. Factor remaining difference of squares
17
GCF with Trinomial (a=1)
1. Factor out GCF
2. Factor remaining trinomial
18
Multiple Choice
125x2−5
Factor out the GCF first. Then, factor using another method.
5(3x+4)(3x−4)
5(5x+1)(5x−1)
(5x−1)2
5(25x+1)2
19
Multiple Choice
4x3−20x2+24x
Factor out the GCF first. Then, factor using another method.
4x(x−2)(x−3)
4(x−2)(x+3)
2x(x+6)(x+4)
4x(x−12)(x+2)
20
Don't forget!!
If a polynomial cannot be factored, it is called PRIME!
(x+2)(x+2) is the same as (x+2)2
21
Multiple Choice
125x2−5
Factor out the GCF first. Then, factor using another method.
5(3x+4)(3x−4)
5(5x+1)(5x−1)
(5x−1)2
5(25x+1)2
Factoring GCF, Difference of Squares, and Trinomials Review

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