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

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

Question 4489: please factor completely thefollowing:

Click here to see answer by pushpaharan(47)

Question 4529: Factor
(x-y)^2 - (x-z)^2
Thank You
Click here to see answer by Pumuky(2)

Question 4456: Find the fourth term of . (x-2y)^7
Click here to see answer by pushpaharan(47)

Question 4485: The question I have is this.
C = W^2L^3
-------
24T^2
I am trying to solve for "W".
The solution the book gives is W= "the square root of both the numerator and denominator"
(CL^3)
-------
(24T^2)
I understand that to just get "W" from W^2 you have to take the square root of it and what you do to one side you must do to the other, but how does "C" and "W" both stay in the numerator on both sides if you must use the reciprocol to move them on the different sides of the equasion?
Click here to see answer by longjonsilver(2297)

Question 4587: I need help with these two problems.
x^4 + 5x^3 + x^2 - 25 =0 and 3x^(3/2) + 7x^(1/3) = 6.
I tried to group the first one but got stuck. I have no idea how to do the second problem. Need help before Monday
Nicole'
Click here to see answer by khwang(438)

Question 4625: x^6+7x^3-8=0 , how do you solve for x, step by step?
Click here to see answer by longjonsilver(2297)

Question 4625: x^6+7x^3-8=0 , how do you solve for x, step by step?
Click here to see answer by Earlsdon(6294)

Question 4377: Factor completely with respect to the integers. 2x3-3x2+8x
Click here to see answer by rapaljer(4667)

Question 4935: Can you show me where I am going wrong with this rational expression?
4y-3/6y
Click here to see answer by rapaljer(4667)

Question 4949: How do you simplify (-2a^2/5b^8)^2 ?
Click here to see answer by Abbey(339)

Question 4971: Simplify: (Use either method.)
X - (x+3)
______
6
_____________
5/6 - 5/3x
Click here to see answer by Abbey(339)

Question 5013: f(x) = x^3-x^2-6x divided by x^2-3x+2
I want to find:
a) Any zeros ____
b) vertical asymptotes ___
c) horizontal asymptotes___
d) the domain of the function_______
e) the range of the function____
f) where f(x)is greater or = to 0: ________
this can be done by using a calculator but need steps to see how to do it.
Thanks
Click here to see answer by khwang(438)

Question 5012: Determin the limit of the function at the indicated point, or tte, that the function does not exist. Use the algebraic method.
1. lim (2x-1)^3
x than arrow has -2
2. lim 3x^2-12
x arrow-2
______________
x + 2
Can you show me these steps to solve the question?
Thank you

Click here to see answer by longjonsilver(2297)

Question 5034: longjonsilver(633) the queestion to determine the limit of the function at the indicated point, or state, that the function does not exist. Use the algebraic method. for b lim 3x^2-12 divided by x+2 where x arrow -2
is infinity still the answer for this or would it change.
Thank for clearing this up

Click here to see answer by ichudov(499)

Question 5036: The sum of half number and its reciprocal is the same as 51 divided by the number. find the number.
Click here to see answer by Earlsdon(6294)

Question 5039: please help me answer and show me the work steps to this question.
the cube of a number equals nine times the number.what is the number
Click here to see answer by Earlsdon(6294)

Question 5035: Question 5034: longjonsilver(633) the queestion to determine the limit of the function at the indicated point, or state, that the function does not exist. Use the algebraic method. for b lim 3x^2-12 divided by x+2 where x arrow -2
is infinity still the answer for this or would it change.
Thank for clearing this up
Click here to see answer by ichudov(113)
NOW CAN YOU SHOW THE STEPS FOR THIS ONE TOO.
LIM (2X-1)^3
X->-2 -> FOR ARROW
THANKS AGAIN IS IT -125 SHOW STEPS PLEASE

Click here to see answer by longjonsilver(2297)

Question 5057: Please solve:
x^4 - 4x^3 + 3x / x^2 -1
I get x^2 - 4x + 1 - x + 2/x^2 - 1
Click here to see answer by rapaljer(4667)

Question 5068: 4x^2-49y^2
Click here to see answer by rapaljer(4667)

Question 5030: question to determine the limit of the function at the indicated point, or state that the function does not exist. Use the algeraic method
lim 3x^2-12 divided by x+2
x arrows to -2
thank you very much if anyone can help me.

Click here to see answer by rapaljer(4667)

Question 5085: Dear Tutors,
I have been trying several different ways to solve this problem but have been unsuccessful so far. Will you please help me solve it? Thanks!!
(2m^2 + 2m - 4) / (m + 3)
Click here to see answer by ichudov(499)

Question 5082: Dear Tutor, I have tried this problem several ways and can't seem to come up with an acceptible answer. Will you please help me solve it? Thanks!!
(4x^8 + 10x^4 + 6x^3) / 2x^6
Click here to see answer by rapaljer(4667)

Question 5099: Multiply or Divide,show each step to answer

4x^2-1
---------
x^2-2X-1
divided by
x-2
_____
x^2+1
Click here to see answer by rapaljer(4667)

Question 5104: (1)
Find the LCM
4y^2-25; 2y^2+9y+10; 2y^2-y-10
Click here to see answer by rapaljer(4667)

Question 5125: Solve and show steps to answer
7/y - 1/3 = 1/4
Click here to see answer by rapaljer(4667)

Question 5126: Solve and show steps to answer
15/x- 15/x-2 = -2
Click here to see answer by guapa(62)

Question 5225: find real solutions.

Thanks Caroline
Click here to see answer by ichudov(499)

Question 5190:
Click here to see answer by ichudov(499)

Question 5224: Find real solutions.

Thanks Caroline
Click here to see answer by longjonsilver(2297)

Question 5253: I am needing some help reducing this problem.
2y/5y-7+3/7-5y

Click here to see answer by longjonsilver(2297)

Question 5174:
Click here to see answer by ichudov(499)

Question 5262:
I could not find any lessons for my brother on Adding and Subtracting algebraic fractions. Could you please help me. Could you also show me how to type in fractions. In this problem x is under x+2 then you add with x+1 under x. Thank you
Click here to see answer by AnlytcPhil(1278)

Question 5219: Find the real solution.

Click here to see answer by rapaljer(4667)

Question 5219: Find the real solution.

Click here to see answer by ichudov(499)

Question 5301: dear tutor, i cant seem to get the correct answer for (x-9)(2x+15) please help me!!!!!
Click here to see answer by longjonsilver(2297)

Question 5314: I need to know the steps to solve this problem. Hope you can help me.
If f(x) = 3-x^2
how do I find the slope of the tangent line to the graph of f at (1,2)
How do I find the slope-intercept equation of the tangent line to the graph of f at (1,2)
How do I graph f and the tangent line.
Thank you
Sue
Click here to see answer by longjonsilver(2297)

Question 5313: If f(x) = x^2-4x+7
a) Find f(x) using the definition of the derivative.
b) find the slope of the tangent line to the graph of f at x= 3 over 2
c) find the slope of the tangent line to the graph of f at x=2
Can you show me the steps to this so I can see how it is done
I really do appreciate your help
Thank You
LU
Click here to see answer by longjonsilver(2297)

Question 5371: I have a problem solving this?
(3x-7)exponent 4 . (3x-7)exponent -4
Click here to see answer by rapaljer(4667)

Question 5347: I have been trying to solve this problem. I have to factor the following problem:
6x^2+35x-6
Click here to see answer by rapaljer(4667)

Question 5307: (x-a)(x-b)(x-c).....(x-z)
what is the formula to solve this problem in a short cut way?
Click here to see answer by rapaljer(4667)

Question 5355: I need to use long division to divide
(2x^2 + x - 13) by (x + 3)
Thanks for your help
Click here to see answer by Abbey(339)

Question 5353: I need to solve by factoring: m^2-2m-63=0
Thanks for your help.
Click here to see answer by guapa(62)

Question 5353: I need to solve by factoring: m^2-2m-63=0
Thanks for your help.
Click here to see answer by Abbey(339)

Question 5412: how many integers are there between 5 and 14
i got nine but i dont think it is right
how many rational number are there between 5 and 14
Click here to see answer by rapaljer(4667)

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