Chapter 11: Factoring Polynomials
Mr. Getso’s Algebra Notes
Spring 2016
11.1 Greatest Common Factor
cad Factoring When Terms Have a Common Factor
Factor completely.
1. B# • 'B
2.
* # "&
B € B
#
#
3.
B$ • B#
4.
B( € 'B#
5.
)B% • #%B#
6.
'B% • "!B$ € $B#
7.
"% % #" $
B € B
&
&
8.
"! ' ) & # % # $
B € B € B € B
$
$
$
$
9.
11.
B# ? € #?
B# aB • &b € #aB • &b
10. B# a
12.
? b € #a
? b
B# aB € "b € #aB € "b
cbd Factoring by Grouping: Four Terms
Factor by grouping.
13. "#:$ • "':# € *: • "#
14. )B$ • "#B# € 'B • *
Factor by grouping:
15.
$B$ € #B# • "&B • "!
Chapter 11: Factoring Polynomials
16.
B$ • $B# • (B € #"
Mr. Getso’s Algebra Notes
page 2 of 12
11.2 Factoring Trinomials of the Form B# € ,B € ccd Factoring Trinomials: B# € ,B € Factor completely.
17.
B# € "#B € $&
18. B# • B • "#
19.
B# € %B • %&
20. B# € "!B • #%
21.
B# € %B • '!
22. B# € $B € #
23.
B# € )B € "'
24. B# € "!B € #&
25.
B# • "%B € %*
26. B# • 'B € *
27.
B# € !B • %*
28.
B# € !B • *
29.
B# € !BC • "'C #
30.
%B# € !BC • %*C #
Chapter 11: Factoring Polynomials
Mr. Getso’s Algebra Notes
page 3 of 12
cdd Factoring Trinomials Ðwith GCFÑ: 5B# € 5,B € 531.
Factor completely:
B$ • 'B# • "'B
32.
Factor completely:
C $ • %C # • %&C
33.
B$ € (B# € "#B
34.
#B# € #)B € *'
35.
$B$ € "#B# • "$&B
36.
&B# C € &!BC • "#!C
Chapter 11: Factoring Polynomials
Mr. Getso’s Algebra Notes
page 4 of 12