Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 627660: Consider that the age x, of a unicorn in human equivalent ears can be given by the formulas f(x)=-0.001618x^4+0.057326x^3-1.1367x^2+11.46x+2.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old?
Click here to see answer by solver91311(24713)

Question 627668: Please help me solve and put in lowest terms:
x^2+3x-18/x^2+7x+10 � 3x+15/4x+24
Click here to see answer by ewatrrr(24785)

Question 627674: Please help me solve and write in lowest terms:
3x+1/x-4 - x+9/x-4
Click here to see answer by ewatrrr(24785)

Question 627673: Please help me find the LCD for:
x-3/x^2-5x+4 and 2x+7/x^2+4x-5
Click here to see answer by ewatrrr(24785)

Question 627771: State the degree of the polynomial: 2x^3y+7xy-9y
Click here to see answer by solver91311(24713)

Question 627785: what is the solution for (4x-9)^2=6?

Click here to see answer by jim_thompson5910(35256)

Question 627809: add the following polynomial:

Click here to see answer by reviewermath(1029)

Question 627812: Find the product:
-4x(-7x^3+4x^2+8x-6)
Click here to see answer by reviewermath(1029)

Question 627817: Find the LCM of (9+8p), (81-64p^2) and (9-8p) could the answer be 4?
Click here to see answer by reviewermath(1029)

Question 627684: I am having a hard time understanding how you would rationalize the denominator of a function when there is an expression in the numerator and a square root of an expression in the denominator. Something similar to this:
(x+3)
______
(sqrt(x-5))-3
Can anyone explain to me how you could rationalize that function?
Click here to see answer by richard1234(7193)

Question 627868: Finding the product:
5x^2y(-4x^5y^4)
I think it is -20x^10y4 am I wrong?
Click here to see answer by reviewermath(1029)

Question 627875: Must show all steps: Find Quotient:
x^2-25
-------
x+5
Needing to learn this as I am confused.
Click here to see answer by reviewermath(1029)

Question 627801: Find the product: -4x(-7x^3+4x^2+8x-6)
Click here to see answer by lenny460(1073)

Question 627873: Essay: MUST show all work. Find the Quotient:
64x^2-100y^2
------------
8x+10y
Tutors...please show steps...I want to lean this...

Click here to see answer by reviewermath(1029)

Question 627937: Polynomials: simplify
14t+14t+t=
Click here to see answer by ewatrrr(24785)

Question 627937: Polynomials: simplify
14t+14t+t=
Click here to see answer by lenny460(1073)

Question 627942: 1. �� 6s + 2s - 3s - 6
2.�� 10t - 4t -6 + 5t
3.�� 18r + 18r + 9r - 3r =
4.�� 20 - 4q + 40r - 16 =

Click here to see answer by jim_thompson5910(35256)

Question 627942: 1. �� 6s + 2s - 3s - 6
2.�� 10t - 4t -6 + 5t
3.�� 18r + 18r + 9r - 3r =
4.�� 20 - 4q + 40r - 16 =

Click here to see answer by lenny460(1073)

Question 627956: How do you solve for θ2 in he equation
n1(sinθ1)=n2(sinθ2)
Thanks for the help! I've been stuck on this problem for a few hours now. i cannot figure out how to isolate the θ2.
Click here to see answer by jim_thompson5910(35256)

Question 627962: When u find 27.46% of 62.55 would u leave the answer as a decimal or percent?
Click here to see answer by jim_thompson5910(35256)

Question 627963: How do u find 74.15% of what number is 78?
Click here to see answer by ewatrrr(24785)

Question 628020: how do you multiply 8t^2(t-t^2+5t^3)

Click here to see answer by jim_thompson5910(35256)

Question 628065: Factor each expression completely:
70p^4q^3-35p^4q^2+49p^5q^2
i have so far as the GCF: 7p^2q^2 is this correct?
also have this so far: 7p^2q^2(10p^2q-5p^2+7p^3)
am i going in the right direction?
Click here to see answer by ewatrrr(24785)

Question 628145: what is the answer in this equation by the use of synthetic division
(m^2 - m^4 + m^3 - m^2 + 5 ) divided by (m-4).
thank you so much for the help
Click here to see answer by stanbon(75887)

Question 628150: Would you please kindly answer my equation using synthetic division
(m^2 - m^4 + m^3 - m^2 + 5) divided by (m-4)
thank you so much....
Click here to see answer by jsmallt9(3758)

Question 628286: What type of polynomial is 5x�y?
Click here to see answer by reviewermath(1029)

Question 628283: I am haveing trouble with polynomials. Here is one of the questions:
(x-3)(2x-5)-(x+1)(x-6)
Any help would be appreciated. Thank you very much!
Click here to see answer by reviewermath(1029)

Question 628298: subtract

2-y 5y-4
divide
y-6 6-y
Click here to see answer by Alan3354(69443)

Question 628482: give function value
formula=g(x)=2x^2-1
g(3)=answer
Click here to see answer by Alan3354(69443)

Question 628481: give function value
f(z^2)= answer
formula=f(x)=x^2-3x+3
Click here to see answer by Alan3354(69443)

Question 628494: (a+2)(a+2)
Click here to see answer by stanbon(75887)

Question 628495: (8x^3-12x^2+6x-9)/(16x^4-9) the answer is given in the book but I don't understand the process of solving it. The answer is: (2x-3)/(4x^2 -3). If anyone can explain this to me I'd greatly appriciate it.
Click here to see answer by stanbon(75887)

Question 628492: (3p^2-p)(3p^2-p)
Click here to see answer by jim_thompson5910(35256)

Question 628496: 6m^3+3m^2+4mn^2+m^2-5mn^2
Click here to see answer by unlockmath(1688)

Question 628479: Use synthetic division and the remainder theorem to find the value of the given function
f(4)=answer
formula=f(x)=x^4+3x^2+5
Click here to see answer by jsmallt9(3758)

Question 628478: Use synthetic division and the remainder theorem to find the value of the given function
g(-3)= Answer
Formula= g(x)=x^3-3x^2+x-7
Click here to see answer by jsmallt9(3758)

Question 628366: adding rational expressions the simplest polynomial that is a multiple of all the denominators defines the necessary condition. What is that condition?
Click here to see answer by jsmallt9(3758)

Question 628515: i have a problem of this question factorize it a3-13a+12????? plz help me.
Click here to see answer by lwsshak3(11628)

Question 628523: factorise by using factor theorum :- y^3-7y+6 (please show its steps also)
Click here to see answer by lwsshak3(11628)

Question 628330: Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x^3-4x^2-16x+64<0
Click here to see answer by lwsshak3(11628)

Question 628514: i have a problem of this question a3-13a+12????? plz help me.
Click here to see answer by jsmallt9(3758)

Question 628540: Use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided by d(x) and express p(?
use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided by d(x) and express p(x) in the form d(x) Q(x)+R(x)
P(x)=x^3+5x^2-27x+230
d(x)=x+10
p(x)=(x+10) ( ) + ? i need the answer for this here
Click here to see answer by jsmallt9(3758)

Question 628708: fran works due north of home her husband ben works due east they leave for work at the same time by the time alice is 5 miles from home the distance between them is one mile more than ralphs distance from home . how far from home is ralph?
Click here to see answer by ankor@dixie-net.com(22740)

Question 628749: how do you solve 1/5 of 35
Click here to see answer by Alan3354(69443)

Question 628749: how do you solve 1/5 of 35
Click here to see answer by lenny460(1073)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105