Station 1: Classifying Polynomials

Transcription

Review Day 1 j i2g0E1m5E UKluJtRaq TSzozfatwwMawrEeV sLALrC[.l h AAlyl[ xr ieg hytiss rEeCsoeprUvZezdL.Station 1: Classifying PolynomialsWrite each polynomial in standard form, then name each by degree and number of terms.1) 10 4a 2 7a 32) 6r 23) k 3 9k 54) x 3 8x5) 5 3n6) 8x 3 10x 4 4x 27) 6v 2 8 9v8) 4r 59) 8x 7x 3 8x 4 1010) 6 q2k0t1 5i XKXuMtdaG KSdoSfXtmwlaKrGes vLSLvCW.P u lAHlDlQ QrbijgahCt\sk \rmeSs\eTrhv eUdN.b N MBaxdBea LwtiBt]hC AI nBfIizn\iPtEeq vAPlXgZeFbzrLar K2k.Worksheet by Kuta Software LLC

Review Day 1 c 2K0Z1X5U fKFuXtqac VSLoTfEtKwdaZrdeY [LNLiCl.m VAZlBlF LrCi[gQhPtwsa Xr\eDsne rpvJeKdT.Station 1: Classifying PolynomialsWrite each polynomial in standard form, then name each by degree and number of terms.1) 10 4a 2 7a 3cubic trinomial3) k 3 9k 5quintic binomial5) 5 3nlinear binomial7) 6v 2 8 9vquadratic trinomial9) 8x 7x 3 8x 4 10quartic polynomial with four terms2) 6r 2quadratic monomial4) x 3 8xcubic binomial6) 8x 3 10x 4 4x 2quartic trinomial8) 4r 5quintic monomial10) 6constant monomial z V2A0m1h5S OKguItFaT [SrodfWtbwoaCrMee pLkLdC[.e CAjlkla KrQizgYh[tssR \rbeOske rRv\eJdD.D e sMMaFdRea wMiat\hr RIKnrfTignSiftkey AblIgxe bkriaM Q2I.Worksheet by Kuta Software LLC

Review Day 1 w L2d0e1C5c iKquRtLaZ VSOoKfWtbwsacrZeo cLOLhCR.e L ZAulHlh JrYiugGhGtCsY BrsegsNerrHvqesdF.Station 2: Long DivisionDivide using long division.1) (3n 3 8n 2 2) (3n 8)2) (10b 3 60b 2 30b 22) (10b 10)3) ( x 3 34x 53) ( x 5)4) (v 3 6v 2 10) (v 6)5) (9x 3 43x 2 53x 58) (9x 7)6) (10a 3 34a 2 68a 23) (10a 4)7) (6k 3 9k 2 29k 5) (k 3)8) ( p 3 p 2 9 p) ( p 1)9) (n 3 12n 2 40n 26) (n 7)10) ( x 3 6x 2 37x 21) ( x 10) K N2g0p1J5F hKAurtJaK lSPoofjtcwoarr[em CLvLfCz.P M XAclpl] SrWisgthvtSsQ TrAeGsDebruvGefdz.M [ SMTaZdWet wBimtIhu XIhnUf[itnfi]tYeo IAylJgVeNbkrEaZ j2O.Worksheet by Kuta Software LLC

Review Day 1 u X2g0B1\5 LKkuTtdaO zS oofvtCwLa]rteK ILnLLCl. D KANlhle crRiQgrh tysK CryexsFeMrAvgexdN.Station 2: Long DivisionDivide using long division.1) (3n 3 8n 2 2) (3n 8)n2 23n 8b 2 5b 2 3) ( x 3 34x 53) ( x 5)x 2 5x 9 8x 55) (9x 3 43x 2 53x 58) (9x 7)x 2 4x 9 59x 77) (6k 3 9k 2 29k 5) (k 3)6k 2 9k 2 1k 39) (n 3 12n 2 40n 26) (n 7)n 2 5n 5 2) (10b 3 60b 2 30b 22) (10b 10)9n 715b 54) (v 3 6v 2 10) (v 6)v2 10v 66) (10a 3 34a 2 68a 23) (10a 4)a 2 3a 8 910a 48) ( p 3 p 2 9 p) ( p 1)p2 9 9p 110) ( x 3 6x 2 37x 21) ( x 10)x 2 4x 3 9x 10 b B2U0f1R5b ]KUurtsaU SroSf]tfwfasrxey uLmLGCp.d a tAZlAlV drqihgghWtvsk ZrYeXsFe\rxvAegdo.G rMiayd eE twFiYtChK gItnMfcihnGiktneL CAUlxgyeobVr ai D2E.Worksheet by Kuta Software LLC

Review DayName Y r2U0R1B6S CKFuIthaV ISjojfatHwDagroeo YLCLXC[.[ m [Amlulu WrniggshGtOsC \rOeLsPeArdvmekdH.Station 3: Synthetic DivisionDate PeriodDivide.1) ( x 3 2x 2 - 54x - 53) ( x 8)2) (5 p 3 20 p 2 - 5) ( p 4)3) ( p 3 2 p 2 - 43 p 45) ( p - 5)4) (4k 3 - 4k 2 - 5k - 14) (k - 2)5) ( x 3 x 2 3) ( x 1)6) (8 p 3 16 p 2 7) ( p 2)7) (5m 3 m 2 - 11m - 3) (m 1)8) (b 3 - 5b 2 8b - 1) (b - 1)9) (v 3 4v 2 8v 2) (v 2)10) (n 3 6n 2 - 9n 63) (n 8)Worksheet by Kuta Software LLC v c2V0r1\6z DKLubt[ap XSqo fFt wGaCroek qLFLnCm.p K lALl]ll \rziJgshytcsY rKeKsqeKrWvvendI.B z bM aTdOet mwzift ho IYn]fnilnAiVtyeE WA ligKe[btrKam F2 .

Review Day 1 t r2 0e1i5H \KVuct aG IS oBfCtNwCaDrQeO dLBLlCg.E d UA]lylL irdi gZhFtxsJ crcemske[rlvaeVdr.Station 4: Special Factoring CasesFactor each.1) x 4 7x 2 8 02) x 3 64 03) x 3 64 04) x 6 12x 4 32x 2 05) x 3 1 06) x 4 2x 2 15 07) x 3 8 08) x 4 3x 2 18 09) x 4 15x 2 54 010) x 3 125 0 y F2Q0w1l5q PKquYt aH uSwo fJtbwbawrEej ILdLACn.F M AEl\lN MrYiPg httAsB MrreJs enrFvKeVdb.l F FMfaPdBem uwKi tdhT TIHnwfpiKnwiStGeM tAhlogheJbdrza E2h.Worksheet by Kuta Software LLC

Review Day 1 L L2R0l1O5 CKYuwtIak SJoafwtGwFaArceG NLoL\Cz.z S OAslWll urMiUg\hmttsC mrAeqs eCrpvte[d\.Station 4: Special Factoring CasesFactor each.1) x 4 7x 2 8 0( x 2 1)( x 2 8) 03) x 3 64 0( x 4)( x 2 4x 16) 05) x 3 1 0( x 1)( x 2 x 1) 07) x 3 8 0( x 2)( x 2 2x 4) 09) x 4 15x 2 54 0( x 2 6)( x 2 9) 02) x 3 64 0( x 4)( x 2 4x 16) 04) x 6 12x 4 32x 2 0x 2 ( x 2 8)( x 2)( x 2) 06) x 4 2x 2 15 0( x 2 5)( x 2 3) 08) x 4 3x 2 18 0( x 2 6)( x 2 3) 010) x 3 125 0( x 5)( x 2 5x 25) 0 r U2A0m1q5U WKWuVt a\ S[oGfJtIwFabraeY MLtLgCw.e V MAMlnls BrhiYgChstNsK DrWess ebr vHe dc.X s vM aJdkef w[ixthhP IIAnvfOiInkiVtgek OAKlBgCeUbdrhan D2u.Worksheet by Kuta Software LLC

Review Day 1 X \2G0u1F5Y jKIuRtvaa tSooffftSwAaxrXeh ]LxLUCp.L u AJlolv prZitgBhjt sH orce]s]eBrBvfeHdW.Station 5: Factor ComletelyFactor each and find all zeros.1) y x 4 8x 2 92) y x 4 8x 2 93) y x 4 x 2 124) y x 4 x 2 425) y x 4 x 3 2x 2 2x6) y x 4 15x 2 547) y x 4 x 2 208) y x 4 6x 2 89) y x 3 6x 2 9x10) y x 4 4x 3 5x 2 w E2X0\1z5O KhuTtPas qSaouf\tGwBaYrteb CL\LCCs.J U aAzlRlk Cr iBgXhutLs\ BrwetsfeyrTveeQdw.Y Q [M]awdTe] IwHiztthB PI n\fTienFietiet UADlUgOevbRrQaM d2J.Worksheet by Kuta Software LLC

Review Day 1 y X2z0G1I5y zKQu[twar kSCoNfutnwlaGrWek BLgLvCi.U x hAGlll] Irdieg\hQtrsG Xrdewstejr vQeAdr.Station 5: Factor ComletelyFactor each and find all zeros.1) y x 4 8x 2 92) y x 4 8x 2 9Factors to: y ( x 3)( x 3)( x 2 1)Zeros: {3, 3, i, i}3) y x 4 x 2 124) y x 4 x 2 42Factors to: y ( x 2 4)( x 2 3)Zeros: {2i, 2i, 3, 3 }5) y x 4 x 3 2x 2 2xFactors to: y ( x 2 7)( x 2 6)Zeros: {i 7, i 7, 6, 6 }6) y x 4 15x 2 54Factors to: y x( x 1)( x 2 2)Zeros: {0, 1, 2, 2 }7) y x 4 x 2 20Factors to: y ( x 3)( x 3)( x 2 6)Zeros: {3, 3, 6, 6 }8) y x 4 6x 2 8Factors to: y ( x 2 4)( x 2 5)Zeros: {2i, 2i, 5, 5 }9) y x 3 6x 2 9xFactors to: y x( x 3)Zeros: {0, 3 mult. 2}Factors to: y ( x 2 9)( x 1)( x 1)Zeros: {3i, 3i, 1, 1}Factors to: y ( x 2 2)( x 2 4)Zeros: {i 2, i 2, 2i, 2i}10) y x 4 4x 3 5x 22Factors to: y x 2 ( x 2 4x 5)Zeros: {0 mult. 2, 2 i, 2 i} T y2]0C1q5[ HKXuatnaf SHoafut wNaLrSee cLpLRCN.u A cAGlblN Orxiig hqtAsJ frheKsYevrSvye[dH.o l yM\ardzev iwIiYtehG jICnnfziRnWimtueU IAol[gDerbZrzau I2z.Worksheet by Kuta Software LLC

Review Day 1 k C2A0v1y5W OKOuat[aG FSyo]fitCwRaUr eq dLiLKCX. Z MAplBla rAiagch tGsu XrIeOsgelrLvEekdI.Station 6: Standard to/from Factor to/from Root and MultiplicityState the zeros of each function and state the multiplicity.1) x( x 3)( x 1) 02) x 2 (5x 1)( x 1) 03) x( x 5)( x 1)(5x 1) 04) x( x 2)( x 1)(2x 1) 0225) x( x 1) (3x 1) 026) x(4x 1)( x 1) 028) x( x 1) (2x 1) 0210) x( x 5)( x 1)(5x 1) 07) x( x 1)(2x 1) 09) x(4x 1)( x 1) 02 E U2 0B1v5d BKruGtlag gSIoxfGtTw air[eT mLkLUCr.z P iAClilK hrKiKgKhHt sI BrReDsReCrLvweedu.J [MZaPdXe\ wzint[hZ cIxnEfAiGnDiXtAet CAilmgne[bhrdaP J2m.Worksheet by Kuta Software LLC

Review Day 1 l h2N0 1[5h eKCuBtTaY eSuoZf tnwwaCrceR vLuLkCX.j A OAtlhlD Arqijg[hytNsi UrgewslenrcvFe\dA.Station 6: Standard to/from Factor to/from Root and MultiplicityState the zeros of each function and state the multiplicity.21) x( x 3)( x 1) 04, 2, or 04, 2, or 03) x( x 5)( x 1)(5x 1) 04, 2, or 04) x( x 2)( x 1)(2x 1) 04, 2, or 025) x( x 1) (3x 1) 04, 2, or 026) x(4x 1)( x 1) 04, 2, or 027) x( x 1)(2x 1) 04, 2, or 028) x( x 1) (2x 1) 04, 2, or 029) x(4x 1)( x 1) 04, 2, or 02) x 2 (5x 1)( x 1) 010) x( x 5)( x 1)(5x 1) 04, 2, or 0 x i2d0f1z5q SKuuFtoaF NSwoYfVtGwLaPr ed BL\LQCW.P O fAglglk zrsiLgwhhtNsz trxeNsqezrSvweTdX.M V yMSandneh wiint hl PICn[f\ifnSidtReM OAXlcgsepbMrnaC S2 .Worksheet by Kuta Software LLC

Review DayStation 7: Binomial TheoremUse the Binomial Theorem to expand each of the following. Remember Pascal’s Triangle.1. (𝑣 4)42. (𝑏 4)23. (𝑦 2)54. (𝑀 5)35. (𝑐 3)46. (𝑦 1)67. (𝑐 3)78. (π‘š 2)49. (π‘₯ 8)610. (2𝑝 1)4

Worksheet by Kuta Software LLC Review Day 1 Station 1: Classifying Polynomials c 2K0Z1X5U fKFuXtqac VSLoTfEtKwdaZrdeY [LNLiCl.m VAZlBlF LrCi[gQhPtwsa Xr\eDsne rpvJeKdT. Write each polynomial in standard form, then name each by degree and number of terms. 1) 10 4a2 7a3 cubic trinomial 2) 6r2 quadratic monomial 3) k3 9k5 quintic binomial 4) x3 8x cubic binomial 5 .