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

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


Question 214653: How do I solve by addition method?
x+4y=6
x-y=1

Click here to see answer by Alan3354(69443) About Me 

Question 214649: How do I solve by additition method?
2x+7y=5
3x-5y=23

Click here to see answer by Alan3354(69443) About Me 

Question 214682: Could you checking to see if I have a right answer? Thank you!
Add simplify by collecting like radical terms if possible, assuming the expression represent nonnegative numbers.
Sqrt(7a)+6sqrt(63a^3)
Sqrt(7a)+6sqrt(9*7*a^2*a)
Sqrt(7a)+6*3sqrt(7a)
=(1+18a)Sqrt(7a)

Click here to see answer by nerdybill(7384) About Me 

Question 214675: I am pushing in as a teacher aide the problem is the school has jumped me by about 2 yrs in my math...I just don't remember...Here is the problem
-2x^2+8x+20=0

Click here to see answer by nerdybill(7384) About Me 

Question 214677: please help me solve this questionfind all numbers for which the rational expression is undefined 8/w-1
Click here to see answer by jim_thompson5910(35256) About Me 

Question 214722: Can someone plese help me with this math problem
Perform the indicated operation completely 5x+5/5x+9 + 5x+13/5x+9

Click here to see answer by stanbon(75887) About Me 

Question 214784: Hello, I need help with simplifying this rational expression:
x^2-100 over (x+10)^2

Click here to see answer by drj(1380) About Me 
Question 214784: Hello, I need help with simplifying this rational expression:
x^2-100 over (x+10)^2

Click here to see answer by stanbon(75887) About Me 

Question 214789: could you checking and see if my answer is right?
Thank you!
Multiply.
(3Sqrt(6)-9Sqrt(5)) (5Sqrt(6)+15Sqrt(5))
15(6)^2-45Sqrt(30)+45Sqrt(30)-135*5
90-0-675
=-585

Click here to see answer by jsmallt9(3758) About Me 

Question 214840: Please try your best to explain your steps...THANK YOU!!!
A class had lunch, and the bill totalled $239.25. 4 students had their birthday, therefore, they didn't need to pay. The other students had to pay $1 more than if all the students had paid. How many students had lunch?
Thank you for your time! :) Answer is 33 students.

Click here to see answer by Alan3354(69443) About Me 

Question 214839: Hey, I am stuck on this question, and really need help...please help me!
Jaime bought a case of concert T-shirts for $450.She kept two for herself and sold the rest for $560 making a profit of $10 on each T-shirt. How many shirts were in the case?
THank you very much, I appreciate it.

Click here to see answer by rfer(16322) About Me 

Question 214127: (3/(2z+1))-(z/(z-2))=((-3z^2+2z=58)/(2z^2-3z-2))
Click here to see answer by jsmallt9(3758) About Me 

Question 214837: Thanks for the help in advance.. I need to know some steps :P
Stuart agrees to a house-painting job for $900. He takes 4 days longer than expected,and he has earned $18.75 less per day than expected. In how many days did he expect to complete the house? Answer is 12 days.

Click here to see answer by checkley77(12844) About Me 
Question 214837: Thanks for the help in advance.. I need to know some steps :P
Stuart agrees to a house-painting job for $900. He takes 4 days longer than expected,and he has earned $18.75 less per day than expected. In how many days did he expect to complete the house? Answer is 12 days.

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

Question 214918: Multiple Representations with Measurement
Here is what my worksheet looks like:

Symbolic
please help me solve:[[[P=4n]]]


Click here to see answer by jim_thompson5910(35256) About Me 

Question 214983: I need help with sloving quadractic equations by factoring:
2x%5E2-3x-5=0

Click here to see answer by jim_thompson5910(35256) About Me 

Question 214993: assume x can represent any real number. Use absolute value notation when necessry.
sqrtx^2-18x+81
I got sqrt(x-9)^2 is this correct?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 214993: assume x can represent any real number. Use absolute value notation when necessry.
sqrtx^2-18x+81
I got sqrt(x-9)^2 is this correct?

Click here to see answer by drj(1380) About Me 

Question 215001: 3(x-6)^2+x^2=x(x+72)-48x
Click here to see answer by jim_thompson5910(35256) About Me 
Question 215001: 3(x-6)^2+x^2=x(x+72)-48x
Click here to see answer by drj(1380) About Me 

Question 215063: Completly factor the polynominal -2x-6y-12
I dont even know where to start on this one.. so I dont have any work to show :(

Click here to see answer by jim_thompson5910(35256) About Me 
Question 215063: Completly factor the polynominal -2x-6y-12
I dont even know where to start on this one.. so I dont have any work to show :(

Click here to see answer by stanbon(75887) About Me 

Question 215064: Completly factor the polynominal h^4+2h^3-8h^2
I dont even know where to start on this one.. so I dont have any work to show :(

Click here to see answer by jim_thompson5910(35256) About Me 

Question 215108: How do I reduce this to simplest terms? 7m/2m+14 . 3m+21/9m

I tried dividing by m in the first part of the equation and wasn't sure if i should use the m as the greatest common factor like m(7) over m( 2+14) is that right at all? I did the same thing on the other part of the equation dividing by 3m getting 3m(1+21) over 3m(3). Can you tell me if I am on the right track, and how to correctly solve this equation?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 215108: How do I reduce this to simplest terms? 7m/2m+14 . 3m+21/9m

I tried dividing by m in the first part of the equation and wasn't sure if i should use the m as the greatest common factor like m(7) over m( 2+14) is that right at all? I did the same thing on the other part of the equation dividing by 3m getting 3m(1+21) over 3m(3). Can you tell me if I am on the right track, and how to correctly solve this equation?

Click here to see answer by stanbon(75887) About Me 

Question 215192: Completely factor the polynomial -2x^2 – 6y – 12.
Click here to see answer by stanbon(75887) About Me 
Question 215192: Completely factor the polynomial -2x^2 – 6y – 12.
Click here to see answer by drj(1380) About Me 

Question 215191: Completely factor the polynomial -2x2 – 6y – 12.
Click here to see answer by drj(1380) About Me 
Question 215191: Completely factor the polynomial -2x2 – 6y – 12.
Click here to see answer by RAY100(1637) About Me 

Question 215204: subtract the polynomials using the horizontal format.
5x^3+x^2+4 from 8x^3-x-6

Click here to see answer by drj(1380) About Me 

Question 215205: subtract the polynomials using the vertical format.
5x^2+x+2 from 9x^2-x-7

Click here to see answer by drj(1380) About Me 

Question 215206: perform the operations as described.
subtract the sum of -8n^2-9n-2 and -3n^2+n+4 from -13n^2-n+9

Click here to see answer by drj(1380) About Me 

Question 215249: how do I Factor xy + xz + wy +wz
Click here to see answer by stanbon(75887) About Me 

Question 215252: How do I Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2)
Click here to see answer by drj(1380) About Me 

Question 215253: how do I Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2)
Click here to see answer by drj(1380) About Me 
Question 215253: how do I Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2)
Click here to see answer by RAY100(1637) About Me 

Question 215251: how do I Factor x^4 + 5x^3 – 84x^2
Click here to see answer by vleith(2983) About Me 
Question 215251: how do I Factor x^4 + 5x^3 – 84x^2
Click here to see answer by drj(1380) About Me 

Question 215256: 6. Factor: x^4 + 5x^3 – 84x^2
Click here to see answer by drj(1380) About Me 

Question 215258: 4. Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2)
Click here to see answer by drj(1380) About Me 

Question 215257: 5. Factor: xy + xz + wy +wz
Click here to see answer by RAY100(1637) About Me 

Question 215259: 3. Graph on a plane: 3x – 6y < 18


Click here to see answer by drj(1380) About Me 

Question 215260: 3. Graph on a plane: 3x – 6y < 18
Click here to see answer by drj(1380) About Me 

Question 215250: how do I Factor x4 + 5x3 – 84x2
Click here to see answer by drj(1380) About Me 

Question 215261: 2. Let f(x) = | 7 – 3x |. Find all x for which f(x) > or = 10
Click here to see answer by RAY100(1637) About Me 

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