Acc Algebra 1
Name: _______________________________
Unit 8: Lesson 6
Date: _________________ Period: _______
Factoring Polynomials Completely (10.8)
Mixed Methods
Essential Questions:
 How do you know a polynomial is factored completely?
 How do you know that a polynomial is prime?
Goal:
 I can factor polynomials completely by choosing then using a variety of different methods.
Review of ALL Factoring Methods:
Binomials
Trinomials
4-Terms
1) GCF
1) GCF
1) GCF
2) DOTS
2) X-Method
2) Grouping
*** ”Factor Completely” means always check for more
ways to factor after each step***
Section 1: Factor Completely… GCF then X-Method
1) 4 x  20 x  24 x
3
2
YT 1) 5 y  25 y  30 y
2) 18k  33k  6k
2
2
YT 2) 48x  72 xy  27 y
3
2
3
2
Section 2: Factor Completely… GCF then DOTS
3) Factor:
45r 4  20r 2
YT 3) Factor:
75a 6  3a 4
Section 3: Factor Completely… GCF then Grouping
4) Factor:
3r 3  15r 2  6r  30
YT 4) Factor:
12b4  10b3  48b  40
YT 5) Factor:
2t 3  3t 2  50t  75
YT 6) Factor:
2m2  8
YT 7) Factor:
81q 4  16
Section 4: Factor Completely… Grouping then DOTS
5) Factor:
y 3  6 y 2  4 y  24
Section 5: Factor Completely… GCF only
6) Factor:
33x5  121x 2
Section 6: Factor Completely… “Double” DOTS
7) Factor:
Homework:
625 p 4  1
“Factoring” Packet
# 131-140 ALL
Ticket Out/Lesson Summary: True or False.
_________ 1) A polynomial is factored completely if after doing one method, another method exists.
_________ 2) If a polynomial can be factored by GCF only, it cannot be factored completely therefore it is prime.
_________ 3) For a polynomial to be factored completely, more than one factoring method needs to be used.