write the simplest polynomial function with the given roots worksheet

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Write the simplest polynomial function with the given zero s. Solve each equation by finding all roots. /3` << (S(S,tfd;G#difqmR1@lqVQ^t",'0gd,VJqm23D.b ]EH0opa3?;6-7M4Gf3[WQl(cg0h\bFdJ'G3MJ(EpXl/rN:6uEa+A9f1/)_Ajb@D)2RQ8H,BEk\? ]:2XGoqf29rp3r"076J3cmMKlRA@?^=6j!L]kC'.D"*CrKS1\*=QF\&(:"%b*kF^i;d\L&T`K LJ>4$F=%qYbPSk%r>pD*'. /Ascent 683 /Subtype/Type1 >> @*DIJq'9%Foc:%[W1Mu\p3p_42hSp0DNRe-6M&AnS\iZcjAXGfWf3#kcLn(>W\ << CA!_i98i@C&_'3TQ,Xa(Lrc^$1cY2N/1dg7Y\8$$"r*Dlh7-m/[IL4<=dS]2^JJVbgm%. [o=G8J&c@'L3cPF_%9((D*%`;PS*sJ#2 2i, â3, 4. and â2, -5, -3i. rkH! m+R@H9W\V+Y:`%C='o->Wn!A');%U,rIli/bBFWTQ)XY@6u`eg%DOD`bO]]4'G&m0V1I-;:]a[] /LastChar 57 /Subtype/Type1 11. 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M:RqZ/7+=r?7$F3&%,D-'?qt#$$)PYIU7T5YI:-fjq>\nBlqQ8/7ps)B,*t_gd$i03Crl-A:bT( 7M\U@DbSuSr+rC5J#&BPm^S*esX*IkK /BaseFont/MBPIUO+cmbx10 ... Would be cubic polynomials with the prescribed roots, and therefore arguably simpler than the degree 6 polynomials you would need if the coefficients are required to be integers. 406 Chapter 6 Polynomial Functions A monomial is a number or a product of numbers and variables with whole number exponents. /Widths[638 566 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 277 277 0 506 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 807 0 638 795 759 0 0 0 0 0 0 0 0 0 0 0 0 0 0 530 434 434 518 470 0 0 578 349 0 518 0 0 602 0 506 446 0 0 0 0 0 0 566 494 470] 36 0 obj Precalculus. O<2Bo-V3hGV%5l];c-RJ? ",#"9oPjtL`NFpCh/N$nqWTW"O)fV$"r::c.7mYH]0MKDr9*Z,S/7SLs8DbuZW[>l.l ;68>Vd,r\t7Abs".$IH.GOgc.Qc;9dY^Z*E8@jaf(S_D,tc.LeLIhBiC;P\BafanQ@ni#+^f18m(L8=bU%k Make Polynomial from Zeros. 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Write the simplest polynomial function with the given roots? )D;]9H3k793I:fj[fb$RgK9E:k'](3r=NQgWmBL*)-Q3pUd80Ao0rJ3`maS?I=Ia^ajsT68jmm]PF]^CD!m*lcfM:)36@DPGCO`nsSX:BrH&l[jDLr*1%Lu#SFnpE^AY#djH[n,5Jq=#4?SU%BFWZ(AGGc) n*o2#qonJj:QIS(SX,E86-^nqdE96);1&96:!:#j^d@a7,1U"?l/FSbK9,HYpR'5IIMJRrHA*0i=[>Z/n^8gLAO? /ItalicAngle -14 /CapHeight 683 endobj endobj ;o^Eq5AmWNp>]qF-7H&eA#>IZ.$^IrNI+C&]ahl:Y8$LurD0X*CZ_4+(]R,BXI\+CJ]IpD8oWn e/i2n`YK,9=ZVOW16cH:=`6BDL^5WRD,AG8jt.gtY>i?1oZs`R.HhQGdM-C]VdLFK4p%R@A7SY@ third-degree polynomial must have at least one rational zero. /Length1 942 /Length 6122 ./+;`Ji$9AYS?KTdPl7ZRDJDJ(MEB,$X['*OJ]VAjM_!I?fZQqij!g%.3a_;AE!7%TABf-%OcBQ I can find the zeros (or x-intercepts or solutions) of a polynomial in factored form and identify the multiplicity of each zero. 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Add your answer and earn points. /Type/FontDescriptor We know how to write functions that are 0 in some places and not others. cIsY9qU5e&7RV=u<0cY$!pj622dR\W6gU<>^fS.>nYWBSrCOe7/F/H2>6ip?_*h*'%/*D`I*;1"HRgU,%9VT"_D[LK2 /Filter [/ASCII85Decode/FlateDecode] /BaseFont/OPAOYO+Gen.Times-New-Roman.Italic 3) The y-intercept of a polynomial is â¦ R;eLf^=84HVa3/,L='rY8RlERNMd'sU'N&Y1/4HV1kTDg*(n[B>"FQb)(had[$GI+NZ)RmjleGQ /Nums[0<>] endstream IlmMqkj3]h]gjHiLXBQ-2E1aq,>>;tWNf[,e(dK`\Wu\g8=!H;Zhn7ll^Z&1I)@r(?ZZ-mrR8_MWY9Ua,i"FY )p.#\s=iC_n(6N*Zg-;!#0YpM`'783SSCKC%Ad1gSBF^J.8$DW`OW%589'LqnFU;9XgEp@7i&Q+_$A6t-j^Fb7:[ /FirstChar 0 /FontDescriptor 50 0 R /Descent -194 15) 0, 2, 3 16) â5, 3 17) â1, 2i 18) 2i, â2i, 2 + 2i 19) â2i, 2 + 2 2 20) 6, â3 + 5 Critical thinking questions: 21) Write a polynomial function of fifth degree â¦ =G8&]4\N[h(kpj+M(R5aIMN0XoSsZ[fVs%WdREPY:gHL^HEi$sWQ@"/YW0gs`Qh'F=6):GJq$%) << m0X%52hLSYFk/oiJ5+23AcHTjp[l+:Y+i;c4B57sP\M8-;Oe_1ELb^YS;9\8MB7p@:k["\%Q_b: /Differences[0/minus] >> /Encoding 36 0 R 9CL(QAU-CO_n#Y'C?5M!pdE1,ENc;lhT(jPYtB\gR_07J)^=jhY#Zm3TePe! 1NQc2ok8NoWH-:cOtM:nNLYX(FR#o)>ZHGd$7&_V-oFd>So2][[i[62T>=89HfV$XgO\r19E,Ap BWGu[Rk#H$\n'FX,**FZ29O]Ki=)+TfQRidjGK`T/>b& >> 39 0 obj /FontFile3 41 0 R /FontName/OHKTLA+cmsy7 gW7l0c08=5L$P)rn9@oY\4/.L>Lso5FeJGI?`Eq3!Fs@TRuN%D /Type/Font :"lP?f4cXN+!O;bF(U$n!%Fp0oV+;3#CcKL! *BVeGne!G]3UTpj#C(:*T> << Please enter one to five zeros separated by space. ,gIr[57kr!TI'+H.fd`=;PCM#Ve5eH+XmL$bQbh"L3WmIN5I)Z @IW)fo0CLI!U&4n^#)s-s1.K-/QB=n3Gc@L++%sJ4H69M_fVPLl4>6m^T8XqriKad]D:ViLsinS << << Worksheet will open in a new window. /LastChar 112 44 0 obj /FontFile3 45 0 R 4C)CVVO,rbQ%pB3B`;ToGmNiBM))+!6naX>nTLBb_s>g]&PSd"S!lU_U#\`[%jn(H$=oT#=&Qp! kfoaq;j? endobj gZ,6%EJ8!i!`UtO2(P55j6ibuMeHhUPiDWFN6_b@*N8lan!]?^pCK&;(#qn#0j(^.6?] k%8@tRO6Pl8lt1f2[*tK$A.UgN;5b:;6\uVEDC\c\OO@3*hEUCGb16e&eQ;n@]R*=PL#84]k9$g /Filter[/ASCII85Decode/FlateDecode] /Type/FontDescriptor j?2kckIG4h55WP$fq3a. =G8'OH#-G['Z]`bm_).["I(3$Q4bGT,EOp0p4s"l'N>9uN!>@l>8%Rjg-@*@1X5#/@Kb[C;+tpf9&^I?DG_'%6)1`MT]\8pA`! a'pjF8Y)WVC1THOCCU7h'sGY6=6bDc9Q.K;iO3%6"9W3ojZ`YYFA5qWm=d`dQ0i+ eJ>X.$. Identify the x-intercepts of the graph to find the factors of the polynomial. /BaseEncoding/MacRomanEncoding NT,Q,Au>s >> MlJ^=u4$rV7;re2?kH])QqpqXLB,NFNAE39&Ap^"!0@WC7QoG7%-c1-=!TeV!7T2V>bpE MU6VO%*h^kM9?%]C^)4?9=\_*,.q5W[G?1b-V1TH%l6re_Q3>R8+LJA0*eu MkPLRhR`!hh"8g,7Z>eJ$f3'`niZ[3^9-Grbe6Ta"MP0=nEUKGdcq^X6%4mDl(7T>[C]/"< n7:EA=52KWe[p%QU5^,>U,N4V9OX\W:?a8h(j#,r2)4Z(dK/=jJML0:iRpF ?G6?$7l@J!_i]n^f(4_&/C969Eh?r<<9/9 >> /BaseFont/OHKTLA+cmsy7 2 i, 1, -2 3 14. /FirstChar 106 *PgO&c,k'WQAKJ#0l?e1^Yebk`IeAW`J#hS(A%%OomF%! /Type/FontDescriptor Question 927890: write the simplest polynomial function given the roots: square root of 2, -5, and -3i Answer by ewatrrr(23545) ( Show Source ): You can put this solution on YOUR website! #P:-uljV"*!)u70ni,QlrS'[>;PKD?aW20Fo(Rq8DREX)#Q6^jk&3I;]q?J?HkQk:lcljs;bA?O<6? 0GaT^T"at4]@++`dfrT@8XQ?Ol /Name/F6 JP846=>"Ugm,i*&8hL@,9P(Z6Bpgt5c$Bp')sD#=h37s.Cs_r"]'2Z8S^o*3q=6PEE9'(VfXVEo /StemH 0 g*0%PYhA?iS/'J_BX)#,1G3:1^EY?0m8nE'NRJZY;POd=(K*;b2KjB(.OPI%WRPZ_;N%U$]la_( /Name/F7 lRL*#"jmM!F>jUL?QThsa@d9";HM#LG`'S/2e%5=o_U8A`GM:jL9Itb"?_aRV*1 X=,--;^Jl<7EqAl)/iBVXIZ[GQr`a%fV1-eC&*DtV8.ho7C>Q$%8,;QidUkh#,T7P"sr4BPpX+( /Ascent 683 2:)[/DOM0LMXgpRPm`I-;jlXI+!m,SDnU2'eQ1l$UYYkloUM]<0M4W0If0Fl_2oX;6$Y%/'hA#I>/fIK--`m]Ln7dG8iNt:5d$LVD4'Zb$V']'g0p$35Hd7B'B$: /FontBBox[0 0 0 0] << ; Examine the behavior of the graph at the x-intercepts to determine the multiplicity of each factor. /CapHeight 683 2 Answers AltairSafir May 14, 2018 #p(x)=(x-1)(x-4)# #(x-3)# Answer link. :7=_V?KEW+;UT,o)F 32 0 obj /BaseEncoding/MacRomanEncoding >> â¢ Determine if a polynomial function is even, odd or neither. fcas80. << P;,PR0Y*a/A=ZJ2cj?Ie/uITpi]WD^KWNXXErQ%bj%_m]JLOfaoEOtPlR73/?8EMjXb66H!JUSl [U0*;:3 !><92(@VH95. ?HCAMBDY3+!8"E/RDpkSIJ71tt#.m0CLom!B2+PG/^#73#0V&&R]YlY&`39QQS*u4triK>T=UpKY*KXb+o>nZ?^QQob` /ItalicAngle -14 U=r'+(UT*8(Y(.<>u\G'FtrAng;UFWBc"[:eLm_)9Y6[8EUDc>`O1V>(Y::B>oZ5Z0!8Jb]7b>6 1 x4 5x2 36 0 of complex roots. endobj 28 0 obj /Widths[465 602 0 0 705] ;,XlIK3F?6ChAn&<>\k>hU#=DRimA:cjEb?lV8[HS]H+ZOUbalk_N-qra*7)B$Y6dZ6Z8KG%)c-1ApnV'3b2^mJOf[]5"$F6L# endobj << ]8#[.ni]\,JY>rWF"]a7nh(Ts^4"\Wj\lcJ-S(X[aU; U6.qkn&N!5SpU9Eo&a\-nRj>M\GA1iQ.9-_K&L'a2S:`^.OL(Sq["eP27Y@&GB_N(0V[@XY*VfU XrJ@sZkPSpZYNo!=/dR`LX#\h9DHmFfV2'lD5^lCV30JQHOu2t"[S)m9d?u/Kk*d.RE7;Hs-tAK 7. endobj /Length 3055 25W9Sm`Ttf,iOP4+Usgm@`F/<>=%O+cA201j:Zi,\HH\lGd12K)EgZq>C?l*V2X+_5Vtu14t''# ijXW5Btqq?dNeRjRNn\q$6n!OVU";^M8XpgX (YIDe5rpRmBBk0T,6)Qt.qE)JR9cn-B;+L3`ILlI2`QbHs. /FirstChar 0 /FontBBox[0 0 0 0] Q+A$4%!9 /Filter[/ASCII85Decode/FlateDecode] /Ascent 683 This compilation of printable basic worksheets will help high school students recognize polynomials, like terms, unlike terms, leading coefficient and number of terms. 41 0 obj 8. AC*I_cm?i>R%;j(70#(XOe1($+8dWD*/:m.UG3&e1_`i-QQ[uVhRKsb/;e52gKAB&C14@&H/A@_ -@N:QI_SdnFXL&UI2n`1hTt@q5ouMtW_aiD515!R,1Rc.V[@"a?0lAeG bn0KEQ,6fRGKWu@,JLtfhp1Ar[Bhbn)48nr+1Y4.R+uEO`m>.L_b&p8c;N+7aW6 *18u"[gY>'u["m/k`t^G,aWhWU$ajE]@G'THc;U$K)FsXko]h#ioT0j4UCRaNT@7^K-Tb 38 0 obj /FontBBox[0 0 0 0] ;`8,V#C5"+Z).<>AG";MIZn,[EH-+/hiSJ\F\?\\_g"*fLWM>a9Quj? endobj 49 0 obj I can write standard form polynomial equations in factored form and vice versa. :%u@2cM9XH%K.n/0RTf+6Lo+4o6=9_!fk~> PLi@sSjLuk.6Vbt:lZP2L]'S@(%s,f%RXZ7):K-u&Z*l#+'SZ`&'[ApoC8/7gP2r2JplD-qWJDF dc=qNPG"JJ?YF\oAK`Caiendstream >> ]CJ'ciUk:rpZR[GFYS*D\mH&07'g<54HLI%4QHrTYrC_L%4E5Wa=MtilO/^V4]pA2cX$Q)"%>*MI(*3;%Y!mPh1:[tF[>>.mkUu^H#>j"+mXf$E'VM5+-LA/RFX#kN42b= 'N6N?m*:.-Qfq0L9EnU`$1Sf)SlV5Bj2nHER[5i=0aurW?Y1O*XPRcnNK)Ml$]]nUfUo/W^9)%*7jY?E#H5S\sKFJ,6=d stream << FJ<5/F0M[PXI7q[:Zbp(qT__jsK 5U8'SL82"?>5;-Zj`F?^5BZd2+b+q9kA)T0Ja@X0Xn?su0ES]"a=NS7HkENs`W"%!k_/!mXqO^( XR;7Z?Dp5%=Wf^.2F]!X6mJ>NTnX')_4cE]%.P06(`!PJO)uY8+? I can write standard form polynomial equations in factored form and vice versa. ^0kBtf]^l'K3CTI#,dYS"g@&m]jQCWJiZ4``+j?q/)Z51$r!jI=2"$kM"V=* P$0U8/*JlQe(c*[hs6FAQBgTF*322HV=0kj9',pGZ:E#Tc6.R?oU78)?=TcE73@iYPM*800O#so 45 0 obj /FontFile3 33 0 R Further polynomials with the same zeros can be found by multiplying the simplest polynomial with a factor. Pau698s7oo$$lA(9T!B-8N8&l6kG << /Type/Encoding ?XtV]aGo98bu8sU?UmJqK#uk%[gt/^ni=[Bj7Id(R@aD?lt7 47 0 obj g`sb@QqV7o-`gZbh0UW!-OLpgIUIJtTlYDQP4EZs0<1R!#M#0\1GAZ37\ra0R,Km`^:7?6id:a(@*VY*qB*#Cf]n!b8noNa)MdJ>*qU[_KFNcWW,L)J?S?`ea9rDDh%t$-3CiO /]_Qa.mc!f=D2*PVhDbDiA8-U? /Type/Font m1S,!ZqG)!cn;"t!n5UNTj:R.Uio>sP1h4i959gC/u`+h@kQ(FK+;>gJb\3lX- ;5$kl]nY3fqY7_[?jUA8$ =16Ul/1TYKRndU]F'%7'Nc";7pN9,PC!bOm6?45)QE!0d?%g5%S-a(M953Nr_@O>6X31T-B!0bZ M":XFTM;8/W0UluTd+X4P(Wg,`c5d5?pC:rCmU?17gcOePMIfO+N:_lb$QL7'=q1&D3ERX$84YG >> , #TOUT/ la. 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Ts!9)gda9u(jL&l0],kV5:s(a//=319d^(V?>d"?_gH`X(Nq;*fpFeLQ*$o<23%8K.m)Y0qf@>f stream /FontName/MOHNJX+cmmi7 =G=.cCQI5i(&dQ-Tl6d]'g#2Tlo9OM-@h"2[M'BFZ.fdoM7[5jQ#)>8mJcsR4*QE'.BUOJCDb/k /BaseFont/LOSTGL+cmsy10 =G8oUTa^u%$j&-/'cb6p(_ks'\M\*#p^[T_dfj%~>endstream m/Hrb^C4F'?eG^F)6)EtA.2J1:P[dN`,4I8Z Z<7OW]N+@'%ltRFi-'s(FqeSfhas\um$c"XZ]hmsERi#N+60rT5m_c1-dQtEonC2/iC%&1n*`&& 5k2fi-ihnckk,'sF36M)Z\Ifd#(p\F6M2g#FBSE;j$-0Ga@OQK=:68'Fgm^e?G*ok5ZRuY]B,,l /\;C:>ZbtP4=kujK>`q!kQ1)#n$Ypg;100baerqK4!1b[r;"LWM\gClY%)G;s0:PF&@>*R_Ktc: << ;(WQD6`tn&PI?YM^=!6Wk]#eH Find the radius of the silo. 15 0 obj R;eLf^=84HVa3/,L='rY8RlERNMd'sU'N&Y1/4HV1kTDg*(n[B>"FQb)(had[$GI+NZ)RmjleGQ In fact, there are multiple polynomials that will work. endobj 8+4<4@5I&kJ1[<6E#'/bD_r>3Gl,b#e,Go@XF]+Fkf.7F.KERd?-1fo\!2>5OD"pe[B,&$&mj,5OrkS5!cF]H 8>P`O\+X1LNH'TEU-CR"br2IcQKijDA_24mA=nD0\_japVeg;G6V^Um7(=JUrsSi6)IFM$RY8RD>m`itd%.+0^l8ekcK"jiF4ok`^d+TCj5"Kj]P%l5'L7c8T=_jCJ*pCd95,^J7]"Z"M&U-mqe8X(88cUAd/TTt@;eJH. /Differences[41/MT41 43/MT43 45/MT45 48/MT48/MT49/MT50/MT51/MT52/MT53/MT54/MT55 57/MT57] @eJNLPI'o]BIcV>j+.t`Rj6:#T&MmV$!7jG\%.u. /StemV 93 24 0 obj :S6-Ti4>/O5e27&JZ(D,.S^pX5(5]4G[!e?H(,FgD^"8`N>m*(A/\mP@C&]p#`-]*Kridr%X6l> /Filter[/ASCII85Decode/FlateDecode] ?>`7/9pCF7_+g_] )JW&kQ\B#iT(>Ba4n)kK,m,qFlgtGq=ho[HXEO%"k,g*^6=jhH8]/a]V=S"o0c8C$(FS17L Input the roots here, separated by comma Roots = Related Calculators. ,COp)-$dGV^i:U:7>Kt'Y!%Y#%(G0Ib&6a^*]o%MUr@PHK=F)#kd^@($lq(WBV"`p+'5n+YZr.% /Differences[0/minus] /BaseEncoding/MacRomanEncoding endstream 4. /FontBBox[0 0 0 0] Tjem_W4+r]/jpe5nLh-(`THZ1JVl?Y@R$9Zh^r*cZ2f&l\#-X,QE(Nn`4e%o6Pp1O$OrRPKqd-N >> /StemH 0 /Encoding 36 0 R QGZ? d)tPP8%gO,#B,7G(`=Gr,#(ZL1D+8ZJm)0WInK:'#Du)W(A7nGaB"Kc@NnYs!oITaJmo1c_$nG4iY:HDn`c=e<=#tL7F5M_RPg,X3Y"K "'gf<3%#TOA+-[Dns#:=#G9H33UO(b&m6YAkNqeBDo-.4CnC2m3:".D\,1Z091V@-[:IKj6&I>$JZ$R2;Fb]Z,kHl:W"5oK8(g@<3LIWV5_]7i>EJ_E2#>bijq^imX_-^=O3;A /FontName/IKFKDE+cmmi10 =G8'OD,d!9)M#Zej!DgUg3-QX;,HcKH@^09EX6t.T4]V7+?$/, Fc11Z8fHf`UMFCj6CCDs%#!M[YR^4\#WIYqr9O3Greds*$6R*nE@ol << W"\9f'"JuN`%nh4f9*GMa_fl#H'_Aat0eUK%F[([G/VFln:cB-9DZa)rd!t_q0+qrp8u5K39h?W-j/>nh89mbr 9 0 obj /Encoding 32 0 R ==t#h4!.$n!Wpl>[$RDKtS+s;WSnug$r&&8kGtK+tkEJTD*YL'Hg7GRg8u,*-^0FXOXVtAI+J`c[B]# 1B/:/J%`ZlPsilsg@f(Af*]OZ*%iSLG4hf3^GjLT4JJM"9T?BWCH3 /StemV 69 "Btu2WoK#!^U8~> 4. endobj /Type/Font â¢ Write a polynomial in completely factored form. 3 3 2 4 3 P(x) = x + 2 x -x + 2 (i}'t' ECK ~ Write the simplest polynomial function with the given zeros. 29 0 obj DSQZu#IS'.C3Pg4g_VPDY$Tnr@%I2ge_Z6>LAIq?n?Fn9PKB^LNr7YE$'BPS('c06^+mP?AM&2; << 2,h2&/QtSu3$V]al^Jf1Y*GlYntK"d,ks=`_aR(V+5G>ThnYfqh1qS8g;\hN8+Y-AkcQ+']uO4' =G>"&Bl=s2)?.og_2ldn>gKf6ZaH!iM.KWi$94#q'Thm:U/iTCM0)9Q?^Q83Se[P"^_r^\Ya1KS`n`oKff)@Ke /Descent -194 Wg;-PUM^_@%0Vo/c8+g8^U#L6!sPttF&fW0c8acelit5PA5n6PD+i&]+F]aE&ja)V7Sm.d];4E' /Name/F3 6(59LH*igPm9Zt\%VL)8L#T:3Blct=9#\h'En4!V$nj`;q#:Nk]n;[~>endstream /LastChar 0 ... Write the simplest polynomial function with zeros â2, 7, and 1 2. a. C. Use synthetic division to test the possible zeros. 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"an9"34A92Ff=e"4)0IYLhrA7[2nUO!VSGRa6KM'M /Differences[120/MT120] endobj The volume of the silo is 1152 pi cubic feet. `)s8H:G!r%E0V0R4=l72%PYapeH6l^O=b$o/o/_gc\mS(=tXe@Fh6cD@7tp`N_oE"MX\X*6WFS^ f9\-'R[ghKaebYqB#TshAb47!O[B>=pX!Oi)LL`Z-B[rLbu!LikB << 44 0 obj P(endstream "9Yiu5\I,9KpErm?4D+m.3u"M /FirstChar 48 5. << UM3dFea_1j=.kCTKJ,*X$_+Gc)bSV*)>ga\prdn6$iT9-:nVB(!nZF?Gef&oNf-t8O]D*ZCV^l& /FontName/DVALDN+cmr7 O`@MNi4*V!2#6j_jR!HqJ,S,@VRrF,7;rd?jmf0$&7 rND0s,OgY+30O>eB'qb*$huaAVbu&*&AJ)nW56=?3Z]-E)U7dgT&D3d\fHb8dY+1!k^&((L7B") /Subtype/Type1C 7K7sBXuG*C`;Kud%(l_4Rk,GtYX /Filter[/ASCII85Decode/FlateDecode] endobj SpHGNa)!=/fOka]8$"2&7OpcePiXZA0]t:HjX-$dATJ#DE-2fX6=UQo<3eFVtgoYDQ2AAajVe4Mr>S?c2lhCGYf8S7@T(]O@uB! polynomial complex roots worksheet you get with quite a function given a detailed description of polynomials of descending powers of each expression. r-#h,!1e%YT/! /BaseEncoding/MacRomanEncoding /Differences[11/ff/fi/fl/ffi 39/quoteright/parenleft/parenright 43/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 61/equal 63/question 65/A/B/C/D/E/F/G/H/I 76/L 78/N/O/P 83/S/T/U/V/W 91/bracketleft 93/bracketright 96/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash] /Subtype/Type1C A0Wr0\Y$=EBG4eWdHQ@tVcRgpV,Q^2.l;rhO8QQ\8n'OYYp_0qU-.k? >> endobj /XHeight 705 << stream /FirstChar 46 2X!ee,$.S31Zn(qgkK!`]0M-P-N\j4&sF,$j0'H]k/Th_QGl2(NgXCB? 0BC-7QuQZU9j!-.E17hsjejuKdPXK#p&oq,c-RonOqgIE&S./1E4-u36joMp_4;qD@e0n7E1cZ- /FirstChar 120 stream W>esG%lk-]e[(p^:]?IC4.S5pEJS9tK$RP2)Pi;V]%h+/&WAHHa%RXl&p6M)X;U<7a4b,l2aObn'FNd_]t`kl"a9kU",I>eD>)H/V_=#=.hedJ+%nG@_) `Jh<52W4'\o58. stream . /Type/FontDescriptor /Length 1830 5. ]l3L4@a]0W`VFZ^_b(Ab2f+bC5uBs-V+3([G%*B*rRR /Flags 4 :q9O/TcW_2qjjR&IpJt5q=!I_TR&?i=p'iI!UM(R >> a>-F;/GYNH$9fl0.>n\+t_SG#fua712gI"uppp`s&4rcRFk4p#&>WK7)Pn9kH- :re[d*$a]lI:7`]:!\h>k;[&&1qDd)T*1\(+UR@QT++KaTZ&B.%p!l`n*4jP`7 38 0 obj !V19hD2i]p/iMqX@ellYRn+TlrSP[?DdJJB_*#G.D:IntCDB[B[d.5dSQ=sIHbp!NVX8hG@P_#^ pe+ViQS!QB6dSI1aYj%D>rYORb-@e'hJGC_$Ke?RH#;[7'r47@b:=ehFnIr)1ABE@!tWpqk=OT9 IC+j>(MV(G;uKTW0L9Z"q+IT!+?M?PWQ.JuW0*[]:B?Q,Nig2dCa1um=b%WM$/fN?VJ! >> << << (4R%rJP_>ED!MH5n,#7HGF[$j40ZJq_I << C:MU79=O:H@(TLJ6@`B\82m=]oI3=HUZtEGa?q8$)\"R`jK1^X?]A0SER[K.? 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