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

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

Question 107827: Please help me solve
1/y-4 +1/y+5
_____________
6/y+5 +2/y-4

Click here to see answer by MathLover1(20849)

Question 107833: Is this correct? If not can you guide me through it?
Divide 45a^6b^10 over 5a^3b^2.
My answer 5a^3b^5.
Click here to see answer by scott8148(6628)

Question 107854: Please help me solve this problem, I'm stuck.
Factor the polynomial completely:
x^2-15x+56
Thank you
Click here to see answer by checkley71(8403)

Question 107649: Please help me simplify this complex rational expression:
6/x^2-4 - 5/x+2
_________________
7/x^2-4 - 4/x-2
Click here to see answer by ankor@dixie-net.com(22740)

Question 107857: Problems like this one really confuse me. Please help.
m^3n-10m^2n^2+24mn^3

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

Question 107858: Please help me. Using the AC method, please show me the steps to solve this problem.
10m^2-23m-12

Click here to see answer by stanbon(75887)

Question 107864: Can you help me with this problem and show me the steps to solve it?
-2a^2-5ab-2b^2
Thanks!
Click here to see answer by stanbon(75887)

Question 107864: Can you help me with this problem and show me the steps to solve it?
-2a^2-5ab-2b^2
Thanks!
Click here to see answer by checkley71(8403)

Question 107864: Can you help me with this problem and show me the steps to solve it?
-2a^2-5ab-2b^2
Thanks!
Click here to see answer by scott8148(6628)

Question 107867: This is for Introductory Algebra (College). Instructions are to FACTOR BY GROUPING. My instructor said to "arbitrarily change a positive to a negative if necessary to get the correct answer". That just doesn't make sense to me. I have a tendency to over-think things and I really want to know why and how I get to the correct answer. Is it really possible to just randomly make things up in math?????
I will show my work. Thank you in advance for any help you can give as you will likely be keeping me out of a straight-jacket at this point!
original problem to be factored by grouping:
p^2-2p-3rp+6r
my work:
(p^2-2p)-1(3rp+6r)
(p^2-2p)+(-3rp-6r)
p(p-2) -3r(p+2) OR p(p-2) +3r(-p-2) (THIS IS WHERE IT GOES DOWNHILL!!)
(?????)(p-3r) ... Final Answer is SUPPOSED to be (p-2)(p-3r)
Obviously I will never get that as an answer at the rate I am going.
Again, thank you for any possible help.

Click here to see answer by stanbon(75887)

Question 107868: Can someone help me with this problem?
x^3+2x^2-x-2
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 107879: I'm having a hard time understanding the AC method. I have the following problem that has to be solved using the AC method, and I'm lost. Please help.
6m^6n+7m^5n^2+2m^4n^3
Click here to see answer by jim_thompson5910(35256)

Question 107881: Simplify.
(1+(2/3)) / (2+(1/2))
These are complex fractions.
This is what I have and I am not sure if it is even remotely correct. Our text does not show equations in this form.
1+(2/3)
_____
2+(1/2)
Make all expressions in the numerator fractional.
(1/1)+(2/3)
__________
(2/1)+(1/2)
LCD for both numerator and denominator is 6.
(6)(1/1)+(6)(2/3)=6+6=12
_________________________
(6)(2/1)+(6)(1/2)=12+3=15
Reduce the fraction 12/15 to 4/5
Answer: 4/5
Am I even close?
Click here to see answer by jim_thompson5910(35256)

Question 107885: Factor completely.
1. xy - 2x + 3y - 6
2. 6x^2 - xy - 5y^2
3. 6x^2 + 7x + 2
Solve.
4. x^2 = -6x
Click here to see answer by scott8148(6628)

Question 107966: I know I am no writing this right but I think I have half way, can you help me please:
x^2-5x+6
I figured that -2&-3 will be the product of 6 and the sum of -5 but I can figure out how to write it.
Here is my guess: x^2+x(-2*-3)+6. I don't think this is right, can you help me please.Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 107973: solve SA=2lw+2lh+2wh, for h
Click here to see answer by jim_thompson5910(35256)

Question 107975: solve A=1/2(b sub1+ b sub2)h, solve for b sub1
Click here to see answer by jim_thompson5910(35256)

Question 108141: I can't seem to figure this one out can you help me please?
4n^2 + 20n=0 I have to solve the equation.
Click here to see answer by Fombitz(32388)

Question 108141: I can't seem to figure this one out can you help me please?
4n^2 + 20n=0 I have to solve the equation.
Click here to see answer by bucky(2189)

Question 108140: Can you please help me with this problem? 25x^2-4/49 factor out completely or state that it is prime.
Click here to see answer by stanbon(75887)

Question 108134: I can't seem to work this problem out right. Can you please help me?
The perimeter of the quadrilateral is 108 inches. Find the lengths of the sides. The dimensions are x+2 2x+1 x^2-3x and x-5
Click here to see answer by stanbon(75887)

Question 108142: find the values of each of the following polynomials for the given values of variables
-x^2-5x-6
x=-3 and x=-2
Click here to see answer by checkley71(8403)

Question 108145: Will you please help me with this equation
x^2-7x+12 over x^2-16
Click here to see answer by Fombitz(32388)

Question 108146: Will you please help me to solve this equation
x^2-3x+2 over 7x-14 divided by x^2-1 over 7x+7
Click here to see answer by MathLover1(20849)

Question 108148: please help solve this i keep coming up with different answers.
(6*10^12)(3.2*10^8)divide by (1.6*10^7)(3*10^2)

Click here to see answer by Fombitz(32388)

Question 108148: please help solve this i keep coming up with different answers.
(6*10^12)(3.2*10^8)divide by (1.6*10^7)(3*10^2)

Click here to see answer by MathLover1(20849)

Question 108253: (7x-5)-(3x+7)
(2xsquared-3x+1)-(5xsquared-3x+10)
(8x+6)-(10x+16)+(4x-6)
Click here to see answer by jim_thompson5910(35256)

Question 108377: I need to know how to factor the GCF from the polynomial
15x^8+11x^7
Please help me
Click here to see answer by stanbon(75887)

Question 108351: im not understanding how to do this work.
Click here to see answer by elima(1433)

Question 108484: Which of the ordered pairs
(�12, 3), (3, 0), (�12, �3), (�22, 5)
are solutions for the equation x + 5y = 3?

Click here to see answer by stanbon(75887)

Question 108503: A triangle has sides 3x+7, 4x-9, and 5x+6. Find the polynomial that represents its perimeter.
Please help
Click here to see answer by stanbon(75887)

Question 108486: Solve. 5(x � 9) � 4x = x � 7
Click here to see answer by elima(1433)

Question 108487: Solve. 5(x � 5) + 8x = 9x � 25
Click here to see answer by elima(1433)

Question 108507: (m^2-5mn + 3n^2)(m^2+4mn - 2n^2)
Please help me solve this.
Click here to see answer by elima(1433)

Question 108581: Evaluate. 42 + 2 7 � (5 4 � 15)
Click here to see answer by checkley71(8403)

Question 108607: Write the equation of the line with slope -1/2 and y-intercept (0, 3).
Click here to see answer by checkley71(8403)

Question 108609: Besides 0, what is the other factor of 14y - y^2 = 0
Click here to see answer by Earlsdon(6294)

Question 108609: Besides 0, what is the other factor of 14y - y^2 = 0
Click here to see answer by stanbon(75887)

Question 108814: convert to scientific notation ( here you may use x as multiplication)
0.000347
Click here to see answer by MathLover1(20849)

Question 108815: We just started factoring polynomials,and I don't understand when you first look at a problem,if it has a greater common factor or not.I did read my book but I'm still confused.could you explain this to me,and possibly give me some examples.I appreciate all the help you all have given me.
Thanks in advance sincerely,JH
Click here to see answer by MathLover1(20849)

Question 108825: We just started factoring polynomials,and I don't understand when you first look at a problem,how to tell if it (doesn't) have a greater common factor.Could you please show me some examples of some that don't have a greater common factor,and how to work them out.I appreciate your time on this,because I need all the help I can get.Thanks again,JH
Click here to see answer by stanbon(75887)

Question 108782: (12a^2-25a-7)/(3a-7)
Click here to see answer by Fombitz(32388)

Question 108739: Solve. 5x � 0.89 = 4(x � 0.71)
Click here to see answer by elima(1433)

Question 108829: Question #107885 example 1 in your list: 6x^2 - xy - 5y^2. I need to see steps so that I understand how this was done to repeat it on my other problems.
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, 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