Name
Algebra II GTH
Date
Worksheet 5.4A
-------.I. GCF
1. 6x2y-3xy
3xIj (~X-I)
I
4a b-7a2b2
3
2.
+2a2b3
3. 21x2 -42xy+35y2
4. 1Ox2Y - 6xy - 20xy2
5.
33x2yz2 + 99x3iz2
6.
-12x2 +36x-60
-121x2y2z2
II. Difference of Two Perfect Squares
(X-fO)
(K +/0)
(d1- 9r)(z.-I-9yjoJe.
-{9¥-l.)(~x-l1}a.
4-8lx2
(3a.-I/6J (.3a...-t-¥6)
9.
(S)(y - 7)(S-x~
10.
25x2y2 -49
y
11.
x4_y4
+- 3 1:,)
12.
64a2 -36b2
{a -fpJ (d-~+- 6 ~ r.3 (,)
13.
a3 -216
(9 -f-l-) (y
14. y3 +8
(x- J) (X+j)
r>
7. x2 -100
r 7)
()(.2..-t- l.)
If ('I a.,- 36) (Lf
c:L
9a2-16b2
III. Sum or Difference of Two Perfect Cubes
(3a +-1) (
(;?)( -
S-yl
2-_
2!J -(- t.f
rn
1.
)
-.3 n +- I )
(tfX2..+ IO¥'j
-I-
~JJ2.1
(1x-tf)(99x1-+-.J.i'x +1')
15.
27n3 + 1
16.
8x3 -125i
17.
343x3-64
(2x-3)(t.!K2..+ ~X+'l}(2.K+3J(4.,t'''''~''1~.9) 64x6-729
IV.
=(8')(3-:27) (Sy3-1- dl7J
Perfect Square Trinomials
(X - fJ..) 2-
19. x2 - 24x+ 144
(X+S-)2..
20.
x2 +10x+25
21.
25-20x+4x2
22.
i
(~X-5")L
~'l
I
2-
~
+18yl+81
2
23. . 36n -12n+l
2-
24.
1-14P149p2
_
Pe liod
V.
Trinomials
(r+4)(
r+S-)
25.
r2 +9r+20
26.
X2 -13x+42
27.
X2 -x-6
(X'+6) (){-I)
28.
X2 +5x-6
(X-Z.)(X-3)
29.
X2 -5x+6
( 'X-/2.)(K+'J
30.
X2 -6x-72
(Y-13)(X-i-I)
31.
X2 -12x-13
(X-3)
(x-sj
32.
X2 -8x+15
(X+-7 )(x+s)
33.
X2 +12x+35
(X-Io)
34.
x2 -2x-80
35.
4n2 +4n-35
36.
3x2 -8x+5
37.
2X2 + 7x+6
38.
3x2 -5x-12
39.
2y2 -3y+1
40.
18y2 -33y-6
(c+d)(e-~)
41.
c2 -cx+cd-dx
(C+ 3) (d+tI)
42.
cd +4c+3d + 12
(~+7){X-")
43.
xy+ 7x-4y-28
(X-s-)
44.
x3 -5x2 +3x-15
45.
x2 _ y2 +nx+ny
46.
X2 +4xy+4y2_1
(X-7) (» -'J
(X' - 3) ( X of z)
(X+-f)
(~n +7 )(21)-5)
(3x -s) (x-t)
(zx +3) (X+2.)
is» +¥)
(21
ex -3)
-I ) ( fj ....r)
3 ({,fj +I)(J
VI.
+«)
Factor by Grouping
(Jel+-3J
(X+-:;) (>C-<j +M)
(X 4VII.
~
2!1 -,)
(X
+ l~ -I- , )
Factor completely.
s: ( 'J - z.) (~of- Z )
47.
5l-20
(r:- + /tj) (r.- + 3)
49.
Z2 +17z+42
3(a..rl.) (a.-+-)J
(X-2.)(Y:-I-2.) (x 2..+ q)
51.
3a
53.
x4 -16
( 9 -.3)
(; .,..3)
(S - 2.-) (fj •.2..)
:ld.J{d-.J)(d~+-.Jd.. +- 9)
2
ftO r-
9~ )
(lor t-9~) 48 .
100r2 -81z2
50.
25d2 -20d+4
+ 15a+ 18 ~~(3fk rl)(fZ-f.s-)
52.
6a + 32a + lOa
I (X-;.J.l.(
54.
x4 -8x2 +16
,
r
lfd-J.) (S"d-z )
55.
y4 _13y2 +36
56.
2d6 -54d3
X
+-2.Jz,
3
2