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

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

Question 184923:
1)4x2-25
2)2x2-x-3
3)6x2-5x-6

Click here to see answer by checkley77(12844)

Question 184921: x(x-5)=6

Click here to see answer by checkley77(12844)

Question 184879: A photo is 4 inches longer than it is wide. A 3-inch border is placed around the photo making the total area of the photo and border 165 square inches. What are the dimensions of the photo?

Click here to see answer by checkley77(12844)

Question 185047: 36x^2+24x+4
Click here to see answer by jim_thompson5910(35256)

Question 185102: A room's length is 3 feet less than twice its width. The area of the room is 135 sq feet. What are the room's dimensions?
This is what I have done so far
A= LxW
135 = (2w-3)(W)
135 = (2w squared - 3W)
Click here to see answer by stanbon(75887)

Question 185108: A rug 4 meters by 5 meters covers 2/3 of the floor area in a room. The rug touches two walls, leaving a strip of uniform width around the other two walls. How wide is the strip?
Click here to see answer by solver91311(24713)

Question 185180: please help me solve this word problem please thank you
With only the small valve open, all of the liquid can be drained from a large vat in 4 hours. With only a large valve open, all of the liquid can be drained from the same vat in 2 hours. How long would it take to drain the vat with both valves open?
Click here to see answer by Alan3354(69443)

Question 185194: please someone help me with this word problem please I tried to do it myself but keep getting it wrong..

The members of the flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
Click here to see answer by solver91311(24713)

Question 185177: please help me solve this word problem
The members of the flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club
Click here to see answer by ankor@dixie-net.com(22740)

Question 185240: One pump can fill a tank twice as fast as the second pump. If the pumps are used together, they will fill the tank in 16 minutes. How long would it take each pump working alone to fill the tank?
I can get what I believe is the right answer but don't know the rule because I really ended up with trial and error approach.
I used X for the one (slow)pump and 2X as the second (fast) pump and know they equal 16 minutes - so 3X = 16. Then I inverted to get 1/3x=16 or X=48 and then the fast pump would be 24 (1/2X). So the answer I get is that the fast pump by itself would take 24 minutes and the slow pump by itself would take 48 minutes. When I do a check and add 1/24 + 1/48 = 2/48 + 1/48 = 3/48 = 1/16 and then reinvert I get 16. This seems more trial and error than buy using a repeatable formula. Thanks for helping!
Click here to see answer by ankor@dixie-net.com(22740)

Question 185285: Please help me factor this polynomial.

30x^3y+54xy^6.

Thank you.
Click here to see answer by vleith(2983)

Question 185333: could use your help with this we are suppose to fill in the answer.Also if you could explain your steps when possible, you guys are wonderful on here, and thank you so much. This is a foil question
(X +1)(X -2)

Click here to see answer by solver91311(24713)

Question 185345: what is the slope of thedemand equation: p=mx+b
Click here to see answer by vleith(2983)

Question 185345: what is the slope of thedemand equation: p=mx+b
Click here to see answer by Alan3354(69443)

Question 185345: what is the slope of thedemand equation: p=mx+b
Click here to see answer by jim_thompson5910(35256)

Question 185339: could use your help with this we are suppose to fill in the answer.Also if you could explain your steps when possible, you guys are wonderful on here, and thank you so much. This is a foil question
( )( )= 12x^2 -9x +16x -12 = 12x^2 +7X -12 We are to fill the first part of the answer.

Click here to see answer by vleith(2983)

Question 185335: could use your help with this we are suppose to fill in the answer.Also if you could explain your steps when possible, you guys are wonderful on here, and thank you so much. This is a foil question
( )(x +4)= 2x^2 +8x +3x +12 2x^2+ 2x^2 +11x +12 We are to fill the first part of the answer.

Click here to see answer by jim_thompson5910(35256)

Question 185351: It's been a longtime and I don't remember none of this stuff. Your help would be greatly appreciated.
My problem is:
The product of the page numbers on two facing pages of a book is 132. Find the page number? There are n teams in a league and the number of games played is given by the polynomial n2 -n =N. A woman softball leagues has 11 teams. what is the total numbers of games to be played?

Click here to see answer by jim_thompson5910(35256)

Question 185314: 25 1/6 / 25 2/3
Click here to see answer by stanbon(75887)

Question 185382: please help me solve this problem please thank you
The ancient Greeks though that the most pleasing shape for a rectangle was one for which the ratio of length to width was 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio?

Click here to see answer by stanbon(75887)

Question 185378: please help me solve these equations please
1. 8 = 6
a2+a-6 a2-9

2. 5 1 1
2m+6 - m+1 m+3
Click here to see answer by Alan3354(69443)

Question 185360: 0.3y^4-1.5y^4+4.4-1.5

Simplify the polynomial by combining like terms
Click here to see answer by nerdybill(7384)

Question 185421: (5x-6)(5x-6)
Click here to see answer by feliz1965(151)

Question 185421: (5x-6)(5x-6)
Click here to see answer by jim_thompson5910(35256)

Question 185412: please help me solve these equations please
8 = 6
____________________
a2+a-6 a2-9

5 - 1 = 1
____________________
2m+6 m+1 m+3

Click here to see answer by feliz1965(151)

Question 185415: please factor this polynomial.

xy-7yz+10x-70z

thank you.
Click here to see answer by jim_thompson5910(35256)

Question 185416: please help me with these two problems

this is how far i got
x^3+64=x+21.3
=(x+21.3)((x^2)-x+21.3)
=(x+21.3)(x^2-x+21.3)
and i have one more problem

Click here to see answer by Earlsdon(6294)

Question 185430: Simplify the polynomial.
1/6x^2-1/4x^3+x^2-1/3x^3+9
Click here to see answer by checkley77(12844)

Question 185420: (3c^2d-d^3+1)8cd^2
Click here to see answer by checkley77(12844)

Question 185413: please help me solve this equation please thank you
x2/3-x1/3-20=0

Click here to see answer by checkley77(12844)

Question 185466: x^3 + ax + 3a + 3x^2
Click here to see answer by jim_thompson5910(35256)

Question 185527: Help me with this polynomial

x^2 +5x-84

I got (x-7) (x-12) for an answer...is this correct?
Click here to see answer by jim_thompson5910(35256)

Question 185528: please help with this polynomial

10x^2+23x+12

thanks
Click here to see answer by jim_thompson5910(35256)

Question 185529: please help me!

6x^2-5x-6

I got (x-2) (x-3) for an answer...please help me
Click here to see answer by jim_thompson5910(35256)

Question 185530: please help

xy+13x+3y+39

thanks
Click here to see answer by jim_thompson5910(35256)

Question 185536: please help me

10x^2+11xy-6y^2
Click here to see answer by jim_thompson5910(35256)

Question 185532: Simplify the polynomials by combining like terms.
1 1 1
-x^2- -x^3 +x^2 - -x^3 +17
6 2 4

Simplify your answer. Use integers or fractions for any numbers in the expression.
Click here to see answer by jim_thompson5910(35256)

Question 185535: Simplify the polynomials by combining like terms.

1/6x^2 - 1/2x^3 + x^2 - 1/4x^3 + 17

Simplify your answer. Use integers or fractions for any numbers in the expression.
Click here to see answer by jim_thompson5910(35256)

Question 185547: The sum of a positive number and its square is 12. What is the number?
Click here to see answer by jim_thompson5910(35256)

Question 185549: Which binomial is a factor of 6x^2 + x � 2?

Click here to see answer by jim_thompson5910(35256)

Question 185548: Which binomial is factor of 2x^2 � 7x + 3?
Click here to see answer by jim_thompson5910(35256)

Question 185603: 5^-1 + 6^-1
Answer should be a simplified fraction
Click here to see answer by jim_thompson5910(35256)

Question 185632: I need to solve y-7/y-9 - 2/y-9 this is just pratice problems to try to improve my skills.

Click here to see answer by jim_thompson5910(35256)

Question 185598: -1.2y(-7y^7)

Simplify answer
Click here to see answer by checkley77(12844)

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