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

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

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 51258: I'm having trouble trying to solve the 3 above mentioned equations and I would appreciate it if you could help me out.
Click here to see answer by mathchemprofessor(65)

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 51402: Can anyone give me any tips on factoring the greatest common monomial factor from a polynomial. I dont have a problem to submit. I have a lesson sheet for my class but the lesson isnt in the text book we use. If anyone can help I appretiate it.
Click here to see answer by AnlytcPhil(1276)

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(6287)

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 51726: hi can someone please factor this
9-x^2
Click here to see answer by checkley71(8403)

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(6287)

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(6287)

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(2101)

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)

Question 52008: Can anyone show me how to do this problem?
MUltiply 3x-30/x^2-4x * 8x/10-x
Click here to see answer by funmath(2925)

Question 52011: Factor. x(x-9) +6 (x-9)
Click here to see answer by funmath(2925)

Question 52017: x-8=20
Click here to see answer by rchill(405)

Question 52026: If the sides of a square are decreased by 3 cm, the area is decreased by 81cm^2. What were the dimensions of the original square?
Click here to see answer by mathchemprofessor(65)

Question 52027: Factor by grouping
x^3 - 5x^2 + 2x - 10
Click here to see answer by tutorcecilia(2152)

Question 52064: Hi I have several questions that I completely don’t understand and need help on.

1. Solve by completing the square y^2-6y=16

2. Determine the nature of the solutions of 3z^2+2z-1=0

3. Solve Using the quadratic formula 3p^2-3p-4=0

4. Solve 2x^2-5x-12=0

I would really appreciate if you could help me with these problems as soon as possible because I have a test and I need some help so it would be nice if you could respond before 7 am tomorrow morning.
Thanks,
Jake
Click here to see answer by josmiceli(9668)

Question 52113: I am trying to factor -x^2-14x-13. please help me i am lost
Click here to see answer by checkley71(8403)

Question 52208: I cannot complete this problem, can someone help me?
x/2-x/3=2
x-x/6=
6*x/2-6*x/3=6*2=12

Click here to see answer by SnowXclouD(11)

Question 52194: Does anyone know how to do this?
Factor completely. x^4 +x^2 -12
Click here to see answer by josmiceli(9668)

Question 52214: p.186
Factor:
(a+b)^6 - (a-b)^6

Click here to see answer by funmath(2925)

Question 52309: 3 inchesis what percent of 40 inches
Click here to see answer by checkley71(8403)

Question 52276: This is a word problem and I am stumped on this. It was given on a test and I have to correct it by this evening 9/14/06 to get a grade. Can you help?

Here is the word problem:
An electrician can wire a house in 20 hours. If she works with an apprentice, the same job can be completed in 15 hours. How long would it take the apprentice, working alone, to wire the house?
The teacher's answer is 60/7
That is not what I got. This is what I did.
x/20 +x/15 = 1
300/1 (x/20 + x/15 = 1)
15x + 20x = 35
35x/35 = 300/35
When I divide 35 into 300 I come up with 8.57 and can not figure out how she got 60/7.
Click here to see answer by funmath(2925)

Question 52357: Please tell me where I'm going wrong...
Problem is If x-5= -8 then what is (x^2 - 5)(x^-3 - x)
I got x = -3, so substituted into problem and got
9-5{1/27 -(-3)} or 4(3 and 1/27) or 328/27
The answer should have been 320/27
?????? Rebecca
Click here to see answer by Earlsdon(6287)

Question 52362: Hello!
I'm a tutor who's a bit rusty on this subject... could someone please tell me what's the general formula for the roots of a 3rd degree polynomial? (or point me to a site that shows it, as I recall it was rather long)
Thank you very much.

Click here to see answer by THANApHD(104)

Question 52340: Simplify. Assume x represents a positive number.
sqrt5x^2
Click here to see answer by rapaljer(4667)

Question 52477: Can someone figure this problem for me? I don't get it.
Evaluate 3*sqrt-64, if possible.
I think I wrote this problem correctly, the 3 is above the check mark on the sqrt symbol.
Click here to see answer by checkley71(8403)

Question 52476: I'm in desperate need of help, I do not get this problem. Can someone please help me out with it?
Solve. 9/x-5 -1 = 8/x+5
Click here to see answer by checkley71(8403)

Question 52597: 1-a+ab-b
Click here to see answer by THANApHD(104)

Question 52634: I am having trouble in math. See, the school combined algebra 1 and geometry B together in one class and its difficult to catch on. Do you know of any formulas that may help? The teacher erases things before we get a chance to write them down.
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