Name
Date
Class
Reteach
LESSON
Factoring x 2 ⫹ bx ⫹ c
8-3
When factoring x 2 ⫹ bx ⫹ c:
and b is positive
and b is negative
If c is positive
Factor x 2 ⫹ 7x ⫹ 10. Check your answer.
both factors are positive.
both factors are negative.
2
Factor x ⫺ 9x ⫹ 18. Check your answer.
x 2 ⫹ 7x ⫹ 10
x 2 ⫺ 9x ⫹ 18
Need factors of 18 that sum to ⫺9.
Need factors of 10 that sum to 7.
Factors of 10
Sum
Factors of 18
Sum
1 and 10
11 7
⫺1 and ⫺18
⫺19 7
2 and 5
73
⫺2 and ⫺9
⫺11 7
⫺3 and ⫺6
⫺9 3
x
⫹ 2 x ⫹ 5 x ⫺ 3 x ⫺ 6 Check:
x
Check:
⫹ 2 x ⫹ 5 ⫽ x 2 ⫹ 5x ⫹ 2x ⫹ 10
2
⫽ x ⫹ 7x ⫹ 10 3
x ⫺ 3 x ⫺ 6 ⫽ x 2 ⫺ 6x ⫺ 3x ⫹ 18
2
⫽ x ⫺ 9x ⫹ 18 3
Factor the trinomial by filling in the blanks below.
2
1. x ⫹ 10x ⫹ 16
2. x 2 ⫺ 9x ⫹ 20
Need factors of
16 , that sum to 10 .
Factors
Need factors of
Sum
20 , that sum to ⫺9 .
Factors
Sum
1
and
16
17
⫺1
and
⫺20
⫺21
2
and
8
10
⫺2
and
⫺10
⫺12
4
and
4
8
⫺3
and
⫺5
⫺9
x
⫹ 2 x ⫹ 8 x
⫺ 4 x ⫺ 5 Factor each trinomial.
2
3. x ⫹ 13x ⫹ 12
x
4. x 2 ⫹ 15x ⫹ 50
⫹ 12 x ⫹ 1 Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c08-3_rt.indd 22
x
⫹ 10 x ⫹ 5 22
5. x 2 ⫺ 13x ⫹ 36
x
⫺ 9 x ⫺ 4 Holt Algebra 1
12/26/05 8:13:58 AM
Process Black
Name
Date
Reteach
LESSON
Factoring x 2 ⫹ bx ⫹ c (continued)
8-3
When factoring x 2 ⫹ bx ⫹ c:
and b is positive
If c is negative
and b is negative
the larger factor must be positive.
the larger factor must be negative.
2
Factor x ⫹ 8x ⫺ 20. Check your answer.
Factor x 2 ⫺ 3x ⫺ 28. Check your answer.
x 2 ⫹ 8x ⫺ 20
x 2 ⫺ 3x ⫺ 28
Need factors of ⫺20 that sum to 8.
(Make larger factor positive.)
Need factors of ⫺28 that sum to ⫺3.
(Make larger factor negative.)
Factors of ⫺20
⫺1 and 20
⫺2 and 10
⫺4 and 5
x
Factors of ⫺28
1 and ⫺28
2 and ⫺14
4 and ⫺7
Sum
19 7
83
17
⫺ 2 x ⫹ 10 x
Check:
x
Class
Sum
⫺27 7
⫺12 7
⫺3 3
⫹ 4 x ⫺ 7 Check:
⫺ 2 x ⫹ 10 ⫽ x ⫹ 10x ⫺ 2x ⫺ 20
2
⫽ x ⫹ 8x ⫺ 20 3
2
x
⫹ 4 x ⫺ 7 ⫽ x 2 ⫺ 7x ⫹ 4x ⫺ 28
2
⫽ x ⫺ 3x ⫺ 28 3
Factor the trinomial by filling in the blanks below.
6. x 2 ⫹ x ⫺ 20
Need factors of
⫺20 , that sum to 1
Factors
7. x 2 ⫺ 3x ⫺ 4
Need factors of
.
⫺4 , that sum to ⫺3 .
Factors
Sum
Sum
⫺1
and
20
19
1
and
⫺4
⫺3
⫺2
and
10
8
2
and
⫺2
0
⫺4
and
5
1
x
⫺ 4 x ⫹ 5 x
⫹ 1 x ⫺ 4 Factor each trinomial.
2
8. x ⫹ 3x ⫺ 18
x
⫺ 3 x ⫹ 6 Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c08-3_rt.indd 23
9. x 2 ⫺ 5x ⫺ 14
x
⫺ 7 x ⫹ 2 23
10. x 2 ⫹ 4x ⫺ 45
x
⫺ 5 x ⫹ 9 Holt Algebra 1
12/26/05 8:13:59 AM
Process Black
*À>V̈ViÊ
&ACTORINGXBXC
--"
n‡Î
n‡Î
&ACTOREACHTRINOMIAL
&ACTOREACHTRINOMIAL
XX
X X
ÊTXÊÊÇÊEÊTXÊÊÎÊEÊ
TXÊÊÈÊEÊTXÊÊxÊEÊ
X X
ÊTXÊʙÊEÊTXÊÊÎÊEÊ
ÊTXÊÊ{ÊEÊTÝÊÊ££ÊEÊ
X X
SX Î DSX £ D
SX n DSX { D
X X
X X
ÊTXÊÊÓÊEÊTXÊÊ£äÊEÊ
ÊTXÊÊÈÊEÊTXÊÊnÊEÊ
&ACTORN N
#OMPLETETHETABLESTO
SHOWTHATTHEORIGINAL
POLYNOMIALANDTHE
FACTOREDFORMDESCRIBE
THESAMESEQUENCE
OFNUMBERSFOR
NAND
ÊTXÊÊ£ÊEÊTXÊÊÎÊEÊ
N
ÊTXÊÊ£ÊEÊTXÊÊÈÊEÊ
X X
ÊTXÊÊ£ÊEÊTXÊÊÓÊEÊ
NN
N
TN £ ETN x E
£Ê Ê ÊÊÈÊÊT£ÊEÊÊxÊÊ£Ó
S £ DS x D
ÊT£ÊÊ£ÊEÊT£ÊÊxÊEÊÊ£Ó
ÊTÓÊÊ£ÊEÊTÓÊÊxÊEÊÊÓ£
ÊTÎÊÊ£ÊEÊTÎÊÊxÊEÊÊÎÓ
ÊT{ÊÊ£ÊEÊT{ÊÊxÊEÊÊ{x
Ó
ÓÊ ÊÓÊÊÈÊÊTÓÊEÊÊxÊÊÓ£
ÊÎÊÓÊÊÈÊÊTÎÊEÊÊxÊÊÎÓ
Ê{ÊÓÊÊÈÊÊT{ÊEÊÊxÊÊ{x
SN £ DSN x D
n‡Î
ÊTXÊÊÇÊEÊTXÊÊnÊEÊ
œÌʏ}iLÀ>Ê£
TNÊÊnÊEÊTNÊÊÎÊEÊ
n‡Î
N
ÊTXÊÊ£ÓÊEÊTXÊÊ{ÊEÊ
ä
£
Ó
Î
{
Ê ÊÓÊÊxÊÊTäÊEÊÊÓ{ÊÊÓ{
ä
Ó
Ê£Ê ÊÊxÊÊT£ÊEÊÊÓ{ÊÊ£n
Ó
ÊÓÊ ÊÊxÊÊTÓÊEÊÊÓ{ÊÊ£ä
ÊÎÊÓÊÊxÊÊTÎÊEÊÊÓ{ÊÊä
Ó
Ê{Ê ÊÊxÊÊT{ÊEÊÊÓ{ÊÊ£Ó
ä
£
Ó
Î
{
ÊTDÊÊ££ÊEÊTDÊÊnÊEÊ
ÊTXÊÊÓÊEÊTXÊÊ£nÊEÊ
&ACTORX X#HECKYOURANSWER
X X
.EEDFACTORSOFTHATSUMTO
X X
XX
BOTHFACTORSAREPOSITIVE
BOTHFACTORSARENEGATIVE
.EEDFACTORSOFTHATSUMTO
&ACTORSOF
3UM
&ACTORSOF
3UM
AND
7
AND
7
AND
3
AND
7
AND
3
SXDSXD
NN
SXDSXD
#HECK
ÊTMÊÊ£ÊEÊTMÊÊ{ÓÊEÊ ÊTFÊÊÇÊEÊTFÊÊ{ÊEÊ
ÊTGÊÊnÊEÊTGÊÈÊEÊ
ÊTPÊÊÓÊEÊTPÊÊ{ÊEÊ
ÊTXÊÊ{ÊEÊTXÊÊnÊEÊ
ÊTXÊÊÓäÊEÊTXÊÊnÊEÊ
XX
ÊTXÊÊnÊEÊTXÊʙÊEÊ
ÊTTÊÊÎÊEÊTTÊ£ÎÊEÊ
ÊTQÊÊÎÊEÊTQÊÊÈÊEÊ
ÊTNÊÊ£ÓÊEÊTNÊÊ{ÊEÊ
NN
Ó
ä ÊäÊ ÊÊnÊÊTäÊEÊÊ{nÊÊ{n
Ó
£ Ê£Ê ÊÊnÊÊT£ÊEÊÊ{nÊÊΙ
Ó
Ó ÊÓÊ ÊÊnÊÊTÓÊEÊÊ{nÊÊÓn
Ó
Î ÊÎÊ ÊÊnÊÊTÎÊEÊÊ{nÊÊ£x
Ó
{ ÊÊ{Ê ÊÊnÊÊT{ÊEÊÊ{nÊÊä
WW
ÊTWÊÊxÊEÊTWÊÓxÊEÊ
N
ä
£
Ó
Î
{
TNETNE
ÊTäÊEÊTäÊEÊÊ{n
ÊT£ÊÊ£ÓÊEÊT£ÊÊ{ÊEÊÊΙ
ÊTÓÊÊ£ÓÊEÊTÓÊÊ{ÊEÊÊÓn
ÊTÎÊÊ£ÓÊEÊTÎÊÊ{ÊEÊÊ£x
ÊÊÊÊT{ÊÊ£ÓÊEÊT{ÊÊ{ÊEÊÊä
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
AK4up.indd 55
.EEDFACTORSOF THATSUMTO
&ACTORS
3UM
&ACTORS
3UM
AND AND AND
AND AND
AND TXETXE
TXETXE
&ACTOREACHTRINOMIAL
X X
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
N
X X
.EEDFACTORSOF THATSUMTO &ACTORN N
3HOWTHATTHEORIGINAL
POLYNOMIALANDTHE
FACTOREDFORMDESCRIBE
THESAMESEQUENCE
OFNUMBERSFOR
NAND
X X
ÊTXÊʙÊEÊTXÊÊÇÊEÊ
QQ
TT
SXDSXDXXX
X X3
&ACTORTHETRINOMIALBYFILLINGINTHEBLANKSBELOW
X X
ÊTKÊÊ£nÊEÊTKÊÊÓÊEÊ XX
X X
#HECK
SXDSXDX XX
X X3
K K
PP
ÊTBÊÊ£{ÊEÊTBÊÊÎÊEÊ
ÊTNÊÊÇÊEÊTNÊÊxÊEÊ
B B
G G
ÊTXÊÓÊEÊTXÊÊ£{ÊEÊ
F F
TNETNE
ÊTäÊEÊTäÊEÊÊÓ{
ÊT£ÊÊnÊEÊT£ÊÊÎÊEÊÊ£n
ÊTÓÊÊnÊEÊTÓÊÊÎÊEÊÊ£ä
ÊTÎÊÊnÊEÊTÎÊÊÎÊEÊÊä
ÊT{ÊÊnÊEÊT{ÊÊÎÊEÊÊ£Ó
œÌʏ}iLÀ>Ê£
X X
ÊTCÊÊxÊEÊTCÊÊ£äÊEÊ
ANDBISPOSITIVE
ANDBISNEGATIVE
&ACTORXX#HECKYOURANSWER
C C
D D
MM
ÊTXÊÊ{ÊEÊTXÊÊxÊEÊ
)FCISPOSITIVE
ÊTAʙÊEÊTAÊÊÈÊEÊ
ÊTXÊÊ£ÓÊEÊTXÊÊ{ÊEÊ
AA
X X
X X
ÊTYÊÊÓÊEÊTYÊÊ£äÊEÊ
ÊTHÊÊ£xÊEÊTHÊÊÎÊEÊ
ÊTXÊÊÓÊEÊTXÊÊ{ÊEÊ
NN
,iÌi>V…
&ACTORINGXBXC
,%33/.
YY
H H
7HENFACTORINGXBXC
X X
ÊTXÊÊÈÊEÊTXÊÊ{ÊEÊ
X X
N
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
&ACTOREACHTRINOMIAL
ÊTXÊÊÎÊEÊTXÊÊ£äÊEÊ
X X
&ACTORNN
3HOWTHATTHEORIGINAL
POLYNOMIALANDTHE
FACTOREDFORMDESCRIBE
THESAMESEQUENCE
OFNUMBERSFOR
NAND
*À>V̈ViÊ
&ACTORINGXBXC
--"
ÊTXÊÊxÊEÊTXÊÊÇÊEÊ
SD
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
X X
X X
ÊTXÊÊnÊEÊTXÊÊÎÊEÊ
X X
X X
ÊTXÊÊÎÊEÊTXÊÊ{ÊEÊ
ÊTXÊÊÈÊEÊTXÊÊ£ÊEÊ
X X
X X
XX
X X
ÊTXÊÊÎÊEÊTXÊÊ£ÊEÊ
XX
X X
ÊTXÊÊÎÊEÊTXÊÊxÊEÊ
ÊTXÊÊ£ÓÊEÊTXÊÊÓÊEÊ
ÊTXÊÊxÊEÊTXÊÊÎÊEÊ
SX x DSX Ó D
X X
X X
X X
SX £{DSX Ó D
SX £ÓDSX Ó D
ÊTXÊʙÊEÊTXÊÊÓÊEÊ
ÊTXÊÊnÊEÊTXÊÊ{ÊEÊ
X X
XX
XX
ÊTXÊʙÊEÊTXÊÊÓÊEÊ
X X
SX £äDSX { D
ÊTXÊÊxÊEÊTXÊÊ{ÊEÊ
XX
X X
X X
ÊTXÊÊ{ÊEÊTXÊÊ£ÊEÊ
ÊTXÊÊÓÊEÊTXÊÊ£äÊEÊ
ÊTX ÊÊnÊEÊTXÊÊxÊEÊ
X X
X X
ÊTXÊÊÈÊEÊTXÊÊÎÊEÊ
ÊTXÊÊÈÊEÊTXÊÊÎÊEÊ
X X
XX
X X
SX £ÈDSX £ D
XX
ÊTXÊÊÎÊEÊTXÊÊ{ÊEÊ
X X
SX x DSX Î D
ÊTXÊ{ÊEÊTXÊʙÊEÊ
XX
ÊTXÊÊÇÊEÊTXÊÊÓÊEÊ
XX
ÊTXÊÊ£ÊEÊTXÊÊnÊEÊ
X X
X X
SX È DSX Ó D
ÊTXÊÊÓÊEÊTXÊÊxÊEÊ
ÊTXÊÊnÊEÊTXÊÊÓÊEÊ
XX
XX
XX
X X
X X
SX x DSX { D
XX
XX
SX { DSX £ D
SX Î DSX Ó D
XX
*À>V̈ViÊ
&ACTORINGXBXC
--"
œÌʏ}iLÀ>Ê£
TXETXE
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
55
X X
TXETXE
X X
TXETXE
(OLT!LGEBRA
Holt Algebra 1
12/28/05 8:00:01 PM
,iÌi>V…
&ACTORINGXBXCCONTINUED
,%33/.
n‡Î
7HENFACTORINGXBXC
ANDBISPOSITIVE
)FCISNEGATIVE
ANDBISNEGATIVE
n‡Î
/NEDAY$ENISESMATHEMATICSTEACHER-S$OLENZEASKEDHERTOFACTOR
X X!FTERPUZZLINGOVERTHEPROBLEMFORAWHILE$ENISETOLD
-S$OLENZETHATTHEEXPRESSIONCOULDNOTBEFACTORED!MAZED
-S$OLENZEASKED$ENISEWHYh)COULDNOTFINDTWOBINOMIALSINXWITH
INTEGERCOEFFICIENTSWHOSEPRODUCTISX XvREPLIED$ENISE4HEN
-S$OLENZEQUICKLYRESPONDEDh7HYSHOULDTHATSTOPYOUv
THELARGERFACTORMUSTBEPOSITIVE
THELARGERFACTORMUSTBENEGATIVE
&ACTORXX#HECKYOURANSWER
&ACTORX X#HECKYOURANSWER
X X
X X
.EEDFACTORSOFTHATSUMTO
-AKELARGERFACTORPOSITIVE
.EEDFACTORSOFTHATSUMTO
-AKELARGERFACTORNEGATIVE
&ACTORSOF
AND
AND
AND
&ACTORSOF
AND
AND
AND
3UM
7
3
7
SXDSXD
)NTHEEXERCISESTHATFOLLOWYOUWILLSEEHOWTOPUSHBACKTHEBOUNDARIES
OFFACTORING
)N%XERCISEnANSWEREACHQUESTIONINORDERTOHELP$ENISEFACTOR
X X
3UM
7
7
3
S
"YWHATPROPERTYOFREALNUMBERSCANYOUJUSTIFYX X X ??
X??
S D S D
3HOWTHAT ??
??
??
ANDTHAT??
??
??
TÓ E TÎ E
ÎÊÊÊÚÚ
xÊ
£Ê]ÊÊÊÊÚÚ
£Ê ÊÊÊÚÚ
£Ê ÊÊÚÚ
£ÊÊÊÊÚÚ
£ÊÊÊÊÚÚ
ÓÊÊÊÎÊÊÓ
ÚÚÚÚÚÊ
ÚÚÚÚÚÊ
Ê ÚÚ
Ê£Ê Ê ÚÚ
Ê£Ê ÊÊʣʣ
Ê ÊÊÊÚÚ
ÊÊÊÊÚÚ
#HECK
SXDSXDX XX
X X3
SXDSXDXXX
X X3
T
.EEDFACTORSOF THATSUMTO
ÓÊÊÎ
D S
Î
È Ó
E T
D
T
Î
Ó
T
Î
Ó
È
ÓÊÊÎ
£Ê Ê XÊÊÊÊÚÚ
£Ê ÊÊÓÊÊ XÊÊÊÊÚÚ
£Ê ÊÊÎÊÊ XÊÊÊÊÚÚ
£Ê ÊTÓXÊÊ£ÊEÊÊTÎXÊÊ£ÊEÊ
ÈÊÊ XÊÊÊÊÚÚ
Ó
Î
Ó
Î
X X
.EEDFACTORSOF THATSUMTO
S
3HOWTHAT X??
X??
XX
&ACTORTHETRINOMIALBYFILLINGINTHEBLANKSBELOW
X X
D
ˆÃÌÀˆLṎÛiÊ*Àœ«iÀÌÞ
SXDSXD
#HECK
…>i˜}i
0USHING"ACKTHE"OUNDARIESOF&ACTORING
--"
E
E
E
Ó
Ó
ÊÈÊXÊ ÊÊÎXÊÊÓX£ÊÊÈÊXÊ ÊÊxXÊÊ£
&ACTORS
AND
AND
AND
&ACTORS
3UM
)STHEPRODUCTIN%XERCISEAFACTORIZATIONOFX X)SITNECESSARYTOFIND
INTEGERSINORDERTOFACTORAQUADRATICTRINOMIAL%XPLAINYOURRESPONSE
AND
9iÃÆÊ̅iÊ}ˆÛi˜Ê«œÞ˜œ“ˆ>ÊiÝ«ÀiÃȜ˜ÊˆÃÊÜÀˆÌÌi˜Ê>ÃÊ>Ê«Àœ`ÕVÌʜvÊ«œÞ˜œ“ˆ>ÃÊ
AND
œvʏœÜiÀÊ`i}Àii°Ê/…iÀiʈÃʘœÊÀiµÕˆÀi“i˜ÌÊ̅>ÌÊ̅iÊVœivvˆVˆi˜ÌÃÊLiʈ˜Ìi}iÀð
&ACTOREACHQUADRATICTRINOMIALASANUMBERTIMESAPRODUCTOF
TWOLINEARBINOMIALSINXEACHHAVINGRATIONALNUMBERSAMONGTHE
COEFFICIENTS5SE%XERCISESn ABOVEASAMODEL
TXETXE
3UM
TXETXE
XX
XX
XX
TXETXE
TXETXE
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
--"
n‡Î
(OLT!LGEBRA
--"
n‡Î
7RITETHECORRECTANSWER
4HEAREAOFAPOSTERBOARDIS
X XINCHES4HEWIDTHIS
XINCHES
XBXC
SXDSXD
4HEORDEROFTHETWOFACTORSOF
CDOESNOTMATTER
MINUS
PLUS
3IGNSINTHE
4RINOMIAL
PLUS
MINUS
"INOMIAL3IGNSPLUSMINUS
XBXC
SXDSXD
ÀÕ}\Ê£ÈÊvÌÊLÞÊÓxÊvÌ]ÊÜ>\ÊÓÓÊvÌÊLÞÊÎxÊvÌ
X
SX
S DSX D
SX X
DSX
X X
S D
D X
S DSX D
X
XX
X X
DSX SX D
XX
SX
X X
X X
/RIGINAL(OUSE
DSX SX
D
XX
D
SX
DSX
DSX
D
D
XX
D
SX
DSX
&ACTOREACHTRINOMIALINTOTWOBINOMIALS
XX
4HEHOMEOWNERSDECIDETOEXTENDTHE
ADDITION4HEAREAWITHTHEADDITIONIS
NOWSX XDFT "YHOWMANY
FEETWASTHEADDITIONEXTENDED
! FOOT
# FEET
" FEET
$ FEET
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
4HELARGEROFTHETWOFACTORSOF
CMUSTBEONTHEhMINUSvSIDE
X X
X
!DDITION
MINUS
MINUS
&ILLINTHESIGNSOFTHETWOBINOMIALSTHATWILLFORMTHECORRECTFACTORS
OFTHEGIVENTRINOMIAL
ÀÕ}\ÊÊÊTXxÊEÊTXÊ{ÊEÊ]ÊÊ
Ü>\ÊÊÊTXÊÓÊEÊTXÊ£xÊEÊÆ
' SXXDFT
( SX XDFT * SX XDFT AK4up.indd 56
œÌʏ}iLÀ>Ê£
4HELARGEROFTHETWOFACTORSOF
CMUSTBEONTHEhPLUSvSIDE
7HATISTHEAREAOFTHEORIGINALHOUSE
& SX XDFT #OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
PLUS
PLUS
BXC
X
SXDSXD
4HEFIGURESHOWSTHEPLANSFORANADDITIONONTHEBACKOFAHOUSE
5SETHEFIGURETOANSWERQUESTIONSn3ELECTTHEBESTANSWER
4HEAREAOFTHEADDITIONIS
SX XDFT 7HATISITSLENGTH
! SXDFEET
" SXDFEET
# SXDFEET
$ SXDFEET
E
"INOMIAL3IGNSMINUSMINUS
BXC
X
SXDSXD
4HEORDEROFTHETWOFACTORSOF
CDOESNOTMATTER
XFT
XÓÊÊXÊÊ£Ó
E T
"INOMIAL3IGNSPLUSPLUS
£Óʈ˜°ÊLÞÊ£™Êˆ˜°
T
C 7RITEAPOLYNOMIALFORTHEAREAOFTHE
POSTERBOARDIFONEINCHISREMOVED
FROMEACHSIDE
E
ÇÊ Ê
£ÓÊÊ XÊÊÊÚÚ
ÊxÊ Ê XÊÊÊÊÚÚ
{
Î
"INOMIAL3IGNSPLUSMINUS
B &INDTHEDIMENSIONSOFTHEPOSTER
BOARDWHENX
E T
,i>`ˆ˜}Ê-ÌÀ>Ìi}ˆiÃ
5SEA'RAPHIC/RGANIZER
XÊÊx
XX
XFT
A 7RITEANEXPRESSIONFORTHELENGTHOF
THEPOSTERBOARD
E
T
£Ê Ê
Ón XÊÊÊÚÚ
Ê£Ê Ê XÊÊÊÊÚÚ
Ç
{
4OFACTORTRINOMIALSOFTHEFORMXBXCINTOTWOBINOMIALSITIS
IMPORTANTTOPAYATTENTIONTOTHESIGNS!LTHOUGHYOUMUSTFIGUREOUTWHICH
FACTORSOFCWILLWORKYOUCANUSETHEGRAPHICORGANIZERBELOWTOHELPYOU
SORTOUTTHESIGNS
!NANTIQUE0ERSIANCARPETHASAN
AREAOFSX XDFT ANDALENGTH
OFSXDFEET4HERUGISDISPLAYED
ONAWALLINAMUSEUM4HEWALL
HASAWIDTHOFSXDFEETANDAN
AREAOFSX XDFT 7RITE
EXPRESSIONSFORTHELENGTHANDWIDTH
OFBOTHTHERUGANDWALL4HENFIND
THEDIMENSIONSOFTHERUGANDTHE
WALLIFXFEET
XÊÊnʓ
E T
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
*ÀœLi“Ê-œÛˆ˜}
&ACTORINGXBXC
!PLOTOFLANDISRECTANGULARANDHASAN
AREAOFX XM 4HELENGTHIS
XM&INDTHEWIDTHOFTHEPLOT
T
E
xÊ Ê
{Ê Ê XÊÊÊÊÚÚ
ÈÊÊ XÊÊÊÊÚÚ
Î
Ó
TXETXE
E T
T
£Ê Ê XÊÊÊÊÚÚ
£Ê Ê
£xÊÊ XÊÊÊÊÚÚ
x
Î
&ACTOREACHTRINOMIAL
X X
XX
X X
œÌʏ}iLÀ>Ê£
ÊTXÊÊÎÊEÊTXÊÊÇÊEÊ
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
56
XX
ÊTXÊÊnÊEÊTXÊÊÎÊEÊ
XX
ÊTXÊÊÈÊEÊTXÊÊxÊEÊ
œÌʏ}iLÀ>Ê£
Holt Algebra 1
12/28/05 8:00:52 PM