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

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

Question 207049: How do I simplify the following rational eqations to quadratic and solve them. Please explain to me step by step so I can get this. Thank you.
a. 2/(3x-1)-x(x+1)=0
b. 2/(3x-1)-2x=0
c. 2/(3x-1)=3x/(x+1)
Click here to see answer by edjones(8007)

Question 207156: Solve: (2/(2x + 26)) - (1/(7x + 1)) = 0
Click here to see answer by jsmallt9(3758)

Question 207208: factor completely. If a polynomial is prime state this. x^4+4x^3-2x-8
Click here to see answer by jim_thompson5910(35256)

Question 207206: The formula x^2-x=N can used to determine the total number of games played, N, in a league of X teams in which all teams play each other twice. Serena referees for a soccer league in which all teams play each other twice and a total of 90 games is played. How many teams are in the league?
Click here to see answer by jringelman(2)

Question 207233: i don't understand how to divide polynomials and need some examples to look at to walk me through it please
Click here to see answer by jim_thompson5910(35256)

Question 207231: i need to know the answer to the above problem on page 309 questions #15.
can you show me how you arrived at the answer?
Click here to see answer by user_dude2008(1862)

Question 207230: i need to know the answer to the above problem on page 309 questions #15.
can you show me how you arrived at the answer?
Click here to see answer by user_dude2008(1862)

Question 207236: Divide: (4x^3 + 8x)/(3x) / (4x^2 + 8)/(6x^2)
Click here to see answer by user_dude2008(1862)

Question 207241: Factor 3x^10-9x^9+6x^8
Click here to see answer by jim_thompson5910(35256)

Question 207250: Could you please help with this problem? Factor the expression. 6q^2+4q-2
Click here to see answer by jim_thompson5910(35256)

Question 207262: Factor completely. If the polynomial is prime, state this.
4x^4 + 36x^3 + 56x^2
Someone please help?
Click here to see answer by RAY100(1637)

Question 207237: Multiply: (25x^2)/(x^2 - 4) * (x + 2)/(5x)
Click here to see answer by RAY100(1637)

Question 207242: Please I need help this word problem with step by step?
Thank you very much!!!
The mass of Venus is about 4.871 x10^21 metric tons. The mass of the sun is about 1.998x10^27 metric tons. About how many times of mass of Venus is mass of the sun? Give your answers in scientific notation.
The mass of sun is about -----? --- times the mass of Venus.
(Round to the nearest thousand as needed. Use scientific notation. Use multiplication symbol in the math palette as needed. )
Click here to see answer by edjones(8007)

Question 207280: simplify 3{[5(n-4)+16]-[2(5n-3)+1]}
Click here to see answer by Edwin McCravy(20054)

Question 207302: I was wondering if you could please help me. The problem is find all numbers for which the rational expression is undefined, (11/17w).I believe you multiply the top and bottom by 17w which would be (187w/17w^2) and square them.But I'm not sure is tht the correct answer? Thank you inadvance for your time.
Click here to see answer by Edwin McCravy(20054)

Question 207220: I need assistance with two separate word problems.
1) A car radiator contains 10 liters of a 30% solution. How many liters will have to be replaced with pure antifreeze if the resulting solution is to be 50% antifreeze?
2) You are planning to start a business that will require an investment of $90,000. You have found some people who are willing to share equally in the venture. If you find three more people, each person's share will decrease by $2500. how many people have you found so far?
Thank you immensely,
Andrew

Click here to see answer by ankor@dixie-net.com(22740)

Question 207313: 3x^4-9x^3y+3x^2y^2
Factor Polynomial Completely
I don't understand how the steps go to this problem. I figured that the GCF is X^2 and x^2(3x^2-9xy+3y^2). Other than that I'm lost, and we are having a test with these kind of problems tomorrow. I appreciate your help.

Click here to see answer by RAY100(1637)

Question 207297: Solve each problem. Answers could be rational expressions. Be sure to give your answers with appropriate units.
Driving marathon. Felix drove 800 miles in x hours on Monday.
a) Write a rational expression for his average speed.

b) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.

Click here to see answer by rfer(16322)

Question 207340: Please help me multiply this equation:
* *
Thank you.
Click here to see answer by ankor@dixie-net.com(22740)

Question 207340: Please help me multiply this equation:
* *
Thank you.
Click here to see answer by Alan3354(69443)

Question 207358: This problem is from a work sheet not a book. 18x^2+9x-2. please give me pointers on how to work this problem please.
Click here to see answer by Alan3354(69443)

Question 207357: factor completely 7a^2-7a-84 I am having trouble with factoring can you please help.
Click here to see answer by Alan3354(69443)

Question 204565: (2x-6)^2 = -48
Solve for x.
Please help!
Click here to see answer by Alan3354(69443)

Question 207378: Express in lowest terms?
Click here to see answer by Earlsdon(6294)

Question 207378: Express in lowest terms?
Click here to see answer by Edwin McCravy(20054)

Question 207388: i am supposed to factor using the trial and error method and i don't know how............this is my equation.......7x^2-54x-16
=???
Click here to see answer by rfer(16322)

Question 207387: my problem is factoring the trinomial completely by factoring the GCF first.........I don't know what to do.........this is my equation..
-w^2-8w+105
+-(w?)(w?)
please help me............thank you
Click here to see answer by jim_thompson5910(35256)

Question 207386: factoring trinomials completely..........this is my problem and I can't figure out how to work any of them.....
36t^2+390t+64
(?t+?)(?t+?)
Click here to see answer by jim_thompson5910(35256)

Question 207384: There was not a topic for what I am looking for. My problem says factor the trinomial completely and I'm not sure how to do it.
54t^2+3t-70
+(?)(?)
Click here to see answer by jim_thompson5910(35256)

Question 207344: I need to remove the facto 1
7n^2+7n
_________
42n^2+49n
I got (n+1)(6n+7)
not sure if I am right
Click here to see answer by jim_thompson5910(35256)

Question 207406: I need some help with these two questions please?
1. Solve by factoring and using the principle of zero products.
2x2 = 3x
2. The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three sides of the triangle.
Click here to see answer by jim_thompson5910(35256)

Question 207405: Can someone help me with these two questions?
1.Factor completely. If the polynomial is prime, state this.
y2 + 0.4y + 0.04
2. Factor by grouping.
15x2 + 10x - 9x - 6
Click here to see answer by jim_thompson5910(35256)

Question 207474: How can I factor x2-8x-9?
Click here to see answer by scott8148(6628)

Question 207473: Factor the trinomial and then name the binomial that is a factor of the given trinomial
x2-8x-9
Click here to see answer by scott8148(6628)

Question 207477: Solve the system 3x-y=-1
2x+3y=-30
A.(8,3)
B.(-8,-3)
C.(3,8)
D.(-3,-8)
Click here to see answer by checkley77(12844)

Question 207469: y=4x^2-16x+3
Click here to see answer by checkley77(12844)

Question 207494: I need help with this question.
The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three sides of the triangle

Click here to see answer by scott8148(6628)

Question 207500: Equations with variables in the denominator baffle me:
x/(x+2)=3/2
Click here to see answer by jim_thompson5910(35256)

Question 207541: Factor each polynomial. If polynomial is prime, say so.
18z + 45 + z^2
Click here to see answer by rfer(16322)

Question 207556: I am not sure how to divide polynomials and I dont have a book can you please help me?
(20y^5-5y^4+10y^3-5y)divided by (-5y)
Click here to see answer by Alan3354(69443)

Question 207557: I am not sure how to divide polynomials and I need some help please. here is my problem.(7x^2+64x+9) divided by (x+9)
Click here to see answer by jim_thompson5910(35256)

Question 207559: How do I figure out the Greatest Common Factor of a pair of integers? here is my problem
12 & 18 find the GCF
how do I do it?
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 207559: How do I figure out the Greatest Common Factor of a pair of integers? here is my problem
12 & 18 find the GCF
how do I do it?
Thank you
Click here to see answer by stanbon(75887)

Question 207561: how do I factor by grouping. here is my problem and I don't know how to do it without a mathbook. 2p^2-p-12p+6
Click here to see answer by stanbon(75887)

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, 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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