KEY
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Algebra2 FactoringReview
Matching
Match each situation with the correct factoring method. Thenwrite an examplefor eachsituation.
a
,. 4terms
A . theoriginalX-factor
n*u6", l(x+4?< r3l, +lo
L
II. anynumber
of termsthatall
B. the differenceof two squares(squareroot)
havea common divisor
p*.' 5X - /O
III. 3 termswith a number(otherthan l)
in front of the x2
C. factorby grouping(groupfnst 2 andlast2,
thenfind GCF of eachgroup)
n*.,/*%1y +7
with no number(ust l)
A,U in3 terms
front of the x2
D. GCF(greatestcommonfactor)
v-,y3r L{r+t
L
,
2 termsthataresubhacted
and
E. AC X-factor(thenusefactorby grouping)
arebothperfectsquares
an
E*.' X "- Y
Factorthe expression.
x?- I lx+ 24'
a. [x+ 3)[x+ 8)
b. [x- 12)(x-2)
c. [x+ 12)[x+2)
d . [x- 3)[x- 8)
(*-4(x-g)
N (^*f
^\
lj
3. What are the solutions of the equation?
xz = 9x- 14
a. ;g-f fl x= t4
x= -l orr= -14
b. x=-7 ottr=-2
x?-qxYlut=O
-# f;ltx-l;?"
What arethe solutionsof the equation?
x2+l5xtj6=0
a. x= -1 0rr= 56
x
c. x = 8 o r t r = 7
d. tr=-lorx=-56
(x*z)G-?)?O
{,+7=Q K+(=0
Find the zerosof
l=x2-4x-5
.
\.tl\
-C
.)./
t
\7,
-/\
./lJ
//-r
t
\
(x-F)(x +D=Q
--o
x+l
x'f9
\
Factor the expression.
l 3 x ( 3 7 x - 1 5 )+ l l ( 3 7 x - 1 5 )
(ztx'r v)ft?x+r
)
;"?:;a9
trr6s)=J gb
a
?t8O
lrbo
5tW
7 . l 6 x z+ 4 6 x + l j
(l*- s)ter_
:.
O
b. (Bx+s)(2x+
3)
€,
(tu x" * ux)+{voxil,)
?-x(tx + 3) 5(s.x +a)
(trx+3)(ax*s)
st?
t.rfzsx2
{
(sxt3)fsx -B)
Factor th.eexpression.
- Zex+
3x2
5i
9.
?Gd = I L8
(s*1-rrfalx
*1
x (3x-r) -tpx s)
Aro
/- d7\
r1bt
b) Og
? rFb
Z, ?4
Gx-sYr-D
c. Qy+fiey+a)
d. Qv-+Ipy-a1
(
solve'
gt"f
ll. xr-Bx-o
a. 1,8
b. -8, g
x (x-?)=Q
X=ox-g=?u
Y"O
K"g
1,47
?,61
1
b.
-t\
I
\b9<^
-s)*/t
q(<)=7?
ACF'4
+ 88x+32= 0
12. 36x2
4 (qx"*t?x+t) =O
&
\'77
?.t?h
3,?4
@
q\1,'.?
(g*"*qi 6sx *q)
ry-'4
c^*lu)ix*?)'o
x" (qx+.t\t(ql<.t3)
I
4,1o
5t 1*
bttoo
krx'q)(+rxtro)
4x(q*-D-s(1x-t
(qn-Dltx-s\=Q
o
9x'?"
t?
t>
v7
q1
y,'?h
,+x
f=?,
4x=5
Jt-
,{
--,4
Ll
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