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Homework #8

# Homework #8 - Thinkwell | Homework#8 Page | nf6_—...

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Unformatted text preview: Thinkwell | Homework #8 Page | nf6 _— Homework #8 Takez1 l 03111103 Directions: This must be completed by Tuesday. March 11th. Answers will be available on March 14th for you lo review your work‘ Remember lo make a corrected copy for yourself to study wilh. Don't forget about the hints localed in Blackboard 1) QED: 25440 3. Using the factor lheroem. is (x + ])a factor 0H2 + 2x + 1'? Why or " , 31— Yes-f“) :1: M, '/ why not“? - , b. No.f(c) : ‘ 1 0. ’ — c. Yes,_f(c)¢ " 0. d. Nuﬂcl at O. . E l 2) QID: 25443 F'nd the zeros 01'83.2 + 65x + 8 given y : _8’y = _% one mm, 78_ r .1. , \I‘ 4‘ X = *8,x = —V K.‘ Q 8 ' w 1 ' = '8,x = — x / I g / x = 8, x — E 8 None ol‘rhe above hup://1hinkwel l.com/twtcstfpri nlmndom.cfn17ilssessmentID= 1 03 747&take=1&isTWExerci... 3/1 1 £1008 Thinkwell | Homework #8 133ng 3mm: 25459 Find all 1316 real zeros of : 6p 3. 4 [(3') = (x 7 6)(,\' + 2)(3x— 4) . - l 4 /’ x—-6,-2, -# x 3 x = 6 —,2.—4‘ 3. . " 4 =6 —2, — f O X 3 ) - None of above 4) QID: 25463 Find all the zeros and their multiplicities forﬂx) = (x —2)2 (x + 3)2 (x + l) . x - .2 HM, x w I = I m a. r "‘3‘7’7‘? Hrr‘V—“i— 5:010; 25465 ' ‘ Find all the zeros forﬂx) = x3 — 413 + x + 6. no I} . 5) QID: 40053 W Use the Rational Zero Theorem to find all possible rational zeros I + 1 + 1 + 2 ofthc polynomial. r ' ‘ _ ‘ f(x)=2xu13xn+4 Qi%,il :2, :4 , ii, i 2, “t Z, i 4 i 2 2 I 1 l i—, i 2. i4, is l 2 None of {be above lnlpzlfthjnkwell.com/lwtestfprimrandom.cfm?assessmemID=l03747&take:1&isTWExerci_.. 3ll 1/2008 r«ell | Homework #8 Page 3 off: 7) mil-19171 Use the Rational Zero Theorem to determine all 1 3 ' - - i— i- :3 i5 :15 :75 posstble rallonal zeros of]. ' ' - ’4_ L _ \ j(x)=5x3+2x3—7x+15 k: a :3, :5 :1, :3, :5, 1c r“! my: > "V 1‘37 :3, :§,:3,:5, :15 5 5 i ;: None oflhe above 8) QID: 25433 Using the: factor lheorem. is (x + 3) a factor ol'(*-l.\'4 + 8x3 -— 5):2 w 2x + 2)? N0~ R = Why or why not? , 4 ? films, R = .l . ‘1— a ' ' ., ' ‘ .L— xljxfﬂi, » ONRR V ., 7 1/" 0a i \ ﬁll" ‘ " . I) -- " r» .- 71 -v ‘ AW , ‘ \ 1 es 1 ' "u _ 0. ,(lpz'r .97- .’.-‘-.v -' 5; + (lg? 4-D; ‘ 7 _77,_._-.;f:4" H. ’17, A J 9’ 03 23‘3" +113 -_:__~v._ _ “ ' _ _ Using the factor theorem. is x a factor of No. R = 04‘ 7 M " No, R .¢ 2r 7 6x + .1? Why or why not? (\~ 7 Ate-8:11»; 0- l 49% ﬁ— The answer cannot be dclcmﬁned h:tp:f/thinkwell.com/twtesI/printrandom.clhn?assessmemlD= I 03747&take=l&isTWExerci... 3/1 1/2008 Thinkwcil ] Homework #8 Fag 10) 0113125444 Find the zeros of (212 + 7x + 3’), given I = 3’ x = i one zero, - 3r 2 y 2 I , iii-:2 J , a} a x = “3 x = - — v )3 2 z = 3, X = -l _ 2 ,1 ‘ . 2 None oflhc above 11) QID: 25446 Find the zeros of (52:2 -24x~126), given y:7'}': 3 one zero, 7 x = ‘1‘ = 3 infill j‘3 ‘43- ): =7.x = —3\'] None of inﬁll-ova 12) mo: 25454 , J_ ‘ Ivrx' I “““~.\ Use thc‘Ralional Zero Theorem to determine all possible rational ' ‘1 K = ﬂ :3 ii :3 zeros off . , 2, 2 f(x)=2A3+3x2—8x+3. 1 3 y = t1,:3,i—,i— 2 2 l x = 1,3 t‘ 'Wl X=H1,_3,“E (.r’.“ l " 2 None oflhe above http://lhinkwelLoom/[mesw‘printrandom.clhl‘PassessmemlD:l 03747&1ake:| &isTWExerci... 3/1 1/2003 Noll l Homework #8 Page 5 of6 13) QID: 25474 Use the Rational Zero Theorem to determine all possible 7 +1 +3 + l + 3 + l + 3 rational gems 02f 9' f — ’— f§1zg=E=_Z—t\\ x)=4x* + l5x —8x—3, 7_,. ,' ﬂ , " a x = :13 :l_:§,:l,:3»/ ( ' 72 _r.2~-*'il 4 v I" 2 4 I : il,i2,i3,i—,i4,i— , , ,1/ 3 3 'l x=:1,:3,:12 /- 7 None ol'the above 14) QID: 25456 im—H '7"‘\\ Find a polynomial ofdegree 3 with zeros. x : —3. 1. ~l al1d_f(2) = x3 + 3x2 _ x _ 3 /_ -‘ 15 _ Lgrfsxz +x— 3 x3 + 3x2 + x + 3 "x3~3127x73 None ol'lhe above 15} QID: 25450 Find the real zeros of 3. ~3. 5. 75. 2 . 2 'J @ x=3,‘5>7277 77—7. f('\) 7(1 _ 7 (x + ~ _7 r x : 3-_3' 5a _5, J: C “77:13;—3,5,—5,J§ None of the above http://thinkwell .com/twtest/prinlrandom.Cfm?asscssmcmlD= 1 03747&take=1&isTWExerci... 3/ l 1/2008 Thinkwell L Homework #8 Page 6 of 6 “~— 163) CID: 25461 . A . -\ Fmd all the zeros. , g; x = 4 w1th multiphcity 2. x = 1 . i'( x ) : (r2 - 8X + 16W -1)- k x = iithﬁVx—Li/'/ x : 8 with multiplicity 2‘ x = l x=0,x: l,x=7l None ofthe above 17) 010225477 Use the Raliona! Zero Theorem to determine A+1 +2 +1 +4 +2 +1+4 +5 all possible rational zeros off. x 7 ‘§"§"§"§ ’E" "g ‘3 ﬁx) = 1233 : 4x- — 27x 7 9, . i2! i4, :1 :6 , y=ii,:l,il,tl,il,i§,i1, {law 1264324 \$2,312,459 ,‘ I) 4 2 6“” 1214245 yzi—,I—,i—,iw,i—,i1 i—,:—, 9 9 3 9 3 3 3 : i2,t4,i5:67 ﬂ 7 x=:i,:1,:rl,:l,:rl,:§,:1 i—,\\ 12 5 4 3 2 4 {_ :3 :31—9; :9 w " None of tho above http:l/thinkwe11.con1/lwtestfprinuandom.cfm?assessmentID= 1 ()3 747&takc=1&isTWExercim 3/ 1 1/2008 ...
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