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

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 50413: The volume of a solid is given by the formula V=2/3pi r^2(2h-r). Solve the equation for h in terms of r and V. Write your answer as a single simple factor.
Click here to see answer by stanbon(75887)

Question 50501: I would greatly appreciate some help with factoring. I understand that is basically means to divide, but when the book says simplify this: 5x + 2y/ 35x + 14y, it does not make sense to me in the examples in the book because I come up with something far different than the check figures in the back of the book. Here is what I have done so far: 1x + 1y / 7x + 7y. I also tried it this way:-1(5x +2y)/(35x +14y) = x+y/7x +7y. But it seems like there should be more to it than that.
Click here to see answer by Nate(3500)

Question 50408: how do I simplify a question that looks like:
((8x^3)/(x-1))/((7x^2)/((x^3)-1))
so that it is in x^3+x^2+x form?
Click here to see answer by stanbon(75887)

Question 50497: I am having trouble w/ this problem. Please help. Thank You.
Dividing a polynomial by a polynomial:
-3x^4 +2x^3 +x^2 -2x+4 by x^2-1
Click here to see answer by ikdeep(226)

Question 50544: "Factor the following polynomials without a calculator. No decimal answers. Exact answers only in completely reduced form. Show all work for credit. Circle final answer." Jeez, how much more specific can they get?!
How do you do this?

Click here to see answer by Nate(3500)

Question 50560: How do you solve x^4-10x+25=0 for x? Please use factoring and show and explain each step. Thank you so much.
Click here to see answer by tutorcecilia(2152)

Question 50573: how do you solve for Y in 2x+y=7
Click here to see answer by AnlytcPhil(1806)

Question 50519: 19/24 divided by a/b=187,853/268,224
thank you.
Nic
Click here to see answer by checkley71(8403)

Question 50552: How do you factor 3x^3-30x-15x^2? Could you please show and explain
each step? Thank you so much.
Click here to see answer by Nate(3500)

Question 50668: "The polynomial -16t^2 + 200t represents the height, in feet, of a model rocket t seconds after launch. The rocket contains a small firecracker that explodes 6.2 seconds after launch. Jeremy launches teh rocket straight up into the air. If sound travels at about 1144 ft/s, how many seconds after launch will Jeremy hear the firecracker go off? Round the answer to the nearest tenth of a second. Show your work."
Click here to see answer by venugopalramana(3286)

Question 50768: factor m^3-2m^2-35m
Click here to see answer by stanbon(75887)

Question 50771: Hey Tutors!
If you have time, could you please help me with this problem? Thanks!
"Find at least one solution of x^2-x=12"

- student in need :)
Click here to see answer by stanbon(75887)

Question 50754: Hello,
I am trying to solve this problem x^2+4x=-4, by solving for x. I know you must equal the equation to 0, so it would look like x^2+4x+4=0, but I don't know where to go from here! Thanks, I relly appreciate it!

Click here to see answer by checkley71(8403)

Question 50706: 3x to the 5th power = 108x to the 3rd power
Click here to see answer by Earlsdon(6294)

Question 50799: 36b^2+12bc+c^2-64=
Click here to see answer by gsmani_iyer(201)

Question 50811: Subtract and collect like terms:
(2x^2-x^7-6) - (2x^3-x^7-8)
Click here to see answer by tutorcecilia(2152)

Question 50831: how do you get the height of a cone with a radius of 3 cm and a vertice from the outside of the base to the center vertice at the top of a cone that measures 7 cm? show your work.
Click here to see answer by Earlsdon(6294)

Question 51038: Please solve and explain 3/4x+1=5. That's three fourths x plus one equal five
Click here to see answer by stanbon(75887)

Question 51093: Need help solving this:
(ab+1)(a-2)
Click here to see answer by tutorcecilia(2152)

Question 51142: i have two probelms.
(numbers in bold are exponents )
1) x2-24=2x

2) 2x2+x=3
Click here to see answer by checkley71(8403)

Question 51222: Hi- im just strted school after a long time time and i dint know hoo to do this please help
Click here to see answer by rapaljer(4671)

Question 51222: Hi- im just strted school after a long time time and i dint know hoo to do this please help
Click here to see answer by mathchemprofessor(65)

Question 51144: is -x^2 positive while -(x)^2 is negitive or are they both negitive
Click here to see answer by rapaljer(4671)

Question 51274: I am drawing a blank on this; do I multiply or add the denominators?
(x-1/3)*(x+1/3)
Click here to see answer by Earlsdon(6294)

Question 51289: I am not sure how to simplify this complex fraction : 9-a/b/45/b; I wasn't sure whether to subtract letters (or divide numbers).
Click here to see answer by THANApHD(104)

Question 51268: (20x)/(102-x) for 0<=x<=100
Click here to see answer by THANApHD(104)

Question 51401: Please help! How do you factor the sums and differences of cubes. This isnt a problem from the text book. just an example.
d3 - e3. The threes in this problem are exponents.
Click here to see answer by THANApHD(104)

Question 51403: Can anyone give me any tips or examples on factoring the difference between two squares and perfect trinomial squares. Thanks
Click here to see answer by THANApHD(104)

Question 51394: I am trying to figure out the GCF of the product: (3b+6)(2b-10). I came up with 6b^2 -60 and 8b^2-40b. 2,3,5,& 6 are my choices.
Click here to see answer by music974(43)

Question 51431: How do you solve, (x-4)(x-4)=0
Click here to see answer by rchill(405)

Question 51432: factor: x^2-13x-48

Click here to see answer by rchill(405)

Question 51432: factor: x^2-13x-48

Click here to see answer by THANApHD(104)

Question 51631: x^3-9x . . . How do I factor completely? I understand factoring cubes, but I don't know what to do with the 9 because it does not cube.
Click here to see answer by checkley71(8403)

Question 51648: how do you factor a problem such as: a-squared - b-squared + 6b - 9?
Click here to see answer by Earlsdon(6294)

Question 51654: factor.
y^4-3y^2-2y
Click here to see answer by THANApHD(104)

Question 51651: please factor the following and explain, thank you
x^2-25 over x+5
and
4y^2+16y+16
Click here to see answer by alka001(14)

Question 51741: please factor completely
x^2+10x+21
and
x^2-8x+16
Click here to see answer by THANApHD(104)

Question 51842: I need your help... my teacher has givin us a wroksheet out of a book we have not recieved yet, teaching Pre-Calculis. The problem title states "Grouping" and reads This question doesnt make sense to me because i was under the impression that something like this was impossibe. Please help me.
yours truly,
Brandon
Click here to see answer by Earlsdon(6294)

Question 51855: is there more work that needs to be shown for these answers??
Question: factor polynomials
9-x^2
my answer: (3-x)(3+x)
and
4x^2+81-36x
my answer: (2x-9)(2x-9)

Click here to see answer by Earlsdon(6294)

Question 51880: Can anyone solve this for me?
Find the value of the polynomial 2x^2-2x-4 when x=2
Click here to see answer by tutorcecilia(2152)

Question 51869: I am having a problem solving this problem:
Is the square root of x^2 =x an identity (true for all values of x)?
Thanks for your time.
Click here to see answer by THANApHD(104)

Question 51867: I am having a hard time solving
^3 the cube root of x^2 = 4.
How do I solve this problem? Thanks for your time!
Click here to see answer by THANApHD(104)

Question 51881: I'm lost on this problem, can someone show me the steps?
Multiply (a^2+2ab-b^2)(a^2-7ab+b^2)
Click here to see answer by fractalier(6550)

Question 51916: 12x^2+11x-5
Click here to see answer by checkley71(8403)

Question 52010: Can someone show me how to do this problem?
Factor completely 9x^2-4
Click here to see answer by checkley71(8403)

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