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

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

Question 205601: Please show me the steps on how to solve this problem.
x+9/x-3 * x^3-27/x^2+3x+9
Click here to see answer by RAY100(1637)

Question 205529:
Click here to see answer by rapaljer(4671)

Question 205620: A manufacturer of screened porches sells a model that sell for p dollars. The revenue from the sale of this model is given by the following polynomial:

R=-.0.25p^2 + 250p
If revenue is found by multiplying price by demand, what is the polynomial representing the demand?
Hint: Factor!
Click here to see answer by vleith(2983)

Question 205615: please help me to factor this expression:x^2-kx-30
Click here to see answer by checkley77(12844)

Question 205641: Please help me perform the indicated operation and simplify if possible.

I keep on getting different answers of and . Thank you tutor for checking this out for me and showing me the correct steps.
Click here to see answer by Targetweek(62)

Question 205677: this is on factoring binomials.. i need some one to please answer these with showing work. please help me this is due tonight.. there is only 5 questions. thank you for helping me ..
1).
81^2-y^2
3).
100x^2y^2-121
5).
49x^2z^2-100y^2
7).
8x^#+125
9).
64x^3+1
thanks again.. these are on factoring binomials. and if you could and have the time. please explain this to me (factoring binomials)the easiest way to do these.. thanks..

Click here to see answer by stanbon(75887)

Question 205624: simplify the following rational expressions:
/
/
/
/
Click here to see answer by Alan3354(69443)

Question 205721: What is the factorization of
Click here to see answer by stanbon(75887)

Question 205769: (Please show me how your work, so I can understand this)
Is the algebraic expression a polynomial? If so, give its degree.
9x3 + 6x6 + 8
Click here to see answer by stanbon(75887)

Question 205762: I need your help, please, on a linear equation involving fractions. My problem is 3 over 4 = 1 - 3x-2/x+1. I know I need to find a common denominator, which I think is 4(x+1). Am I right so far? I've done this problem 5 times and came up with 5 different answers. Help....
Click here to see answer by Alan3354(69443)

Question 205763: I already have an answer to this, but just want to make sure I did it right. The problem is cubed root of x - 5=3. I came up with 512. The cubed root of 512 is 8. When I check my work and put 8 in for x, it's the cubed root of 512=8-5=3. Am I right? I am not sure how to write it out for you on the computer. I hope you understand the problem. Thanks.
Click here to see answer by Alan3354(69443)

Question 205761: I need your help, please, on a linear equation involving fractions. My problem is 3 over 4 = 1 - 3x-2/x+1. I know I need to find a common denominator, which I think is 4(x+1). Am I right so far? I've done this problem 5 times and came up with 5 different answers. Help....
Click here to see answer by Earlsdon(6294)

Question 205770: THE AREA OF A RECTANGLE IS GIVEN BY THE FOLLOWING POLYNOMIAL:44T2-2T2(44t SQAURED MINUS 2T SQUARED).
IF THE LENGTH OF ONE SIDE IS 2T, WHAT IS THE POLYNOMIAL THAT EXPRESSES THE LENGTH OF THE OTHER SIDE?
Click here to see answer by stanbon(75887)

Question 205846: Please help me to use the grouping method to completely factorize
Click here to see answer by dyakobovitch(40)

Question 205857: I am just learning algebra and the basic terms. I looked up polynomial in the dictionary (dictionary.com). According to the first 2 entries, each term has a variable in it. However, in the example expression there is a term without a variable. "x^2 - 5x + 6" I do not see a variable in the 3rd term of this expression. On another algebra site it gave a similar example. The dictionary seems to very clearly state that EACH term contains a variable. Can you explain this?
Click here to see answer by ptaylor(2198)

Question 205889: the length of a cube is x+2 cm find the volume of the cube in terms of variable x
Click here to see answer by checkley77(12844)

Question 205889: the length of a cube is x+2 cm find the volume of the cube in terms of variable x
Click here to see answer by rfer(16322)

Question 205920: 9x2+6x+1
Click here to see answer by stanbon(75887)

Question 205984: Use inductive reasoning to determine the next three numbers in the pattern: 0,1,3,6,10,15...
Click here to see answer by stanbon(75887)

Question 206029: Please help me quickly. I don't have a lot of time left. I have been messing around with this problem for days and I can't get it.
It's 3/4 = 1 - 3x-2/x+1
3 over 4 = 1 - 3x-2 over x+1
Thanks.

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

Question 206051: Could you please help me out with this problem????
Simplify
z^2-4z-5
---------
z^2-3z-4
------------
z^2+9z+14
---------
z^2-2z-8 Thanks for any help your able to give!!
Click here to see answer by jim_thompson5910(35256)

Question 206161: Will you please help me with this factoring problem?
7x^8 y^6 + 14x^6y^5 +49xy
Thank you,
Donna Green
Click here to see answer by checkley77(12844)

Question 206161: Will you please help me with this factoring problem?
7x^8 y^6 + 14x^6y^5 +49xy
Thank you,
Donna Green
Click here to see answer by Alan3354(69443)

Question 206195: Build the rational expression into an equivalent rational expression with the indicated denominator.
(3y^2)/(8x^3z) = (?)/(32x^4z)

Click here to see answer by Marth(57)

Question 206198: multiply the rational expression
[(x^2+6x+5)/x] * [(x^5)/(2x+2)]
Click here to see answer by Marth(57)

Question 206199: Find the LCD for the given rational expressions, and convert the rational expressions into equivalent rational expressions with the LCD as the denominator.
4/a-3 , 5x/3-a
Click here to see answer by stanbon(75887)

Question 206200: Solve the equation.
x/2 = 5/x+9

Click here to see answer by Marth(57)

Question 206167: A polynomial x has degree 3. The coefficient of x^2 is 3 less than the coefficient of x^3. The coefficient of x is three times the coefficient of x^2. The remaining coefficient is 2 more than the coefficient of x^3. The sum of the coefficients is -4. Find the polynomial.
I have no idea where to start when doing these problems and cannot figure out how to solve these because they are too difficult for me. PLEASE HELP. This was due last night and I have tried and tried, but cannot get the answer.
Click here to see answer by ankor@dixie-net.com(22740)

Question 206206: [(3-1)/4]-[(a-5)/4]
Click here to see answer by RAY100(1637)

Question 206214: Perform the indicated operation. Reduce the answer to lowest terms.
[ (3-a)/4] - [ (a-5)/4]
Click here to see answer by RAY100(1637)

Question 206011: Factor the Polynomial.
2x�+27
Click here to see answer by HyperBrain(694)

Question 206077: What is the lesser value of x out of the two solutions for x and y in this equation: 4x^2-3xy+9y^2=15
2x+3y=5
Thank you!!
Click here to see answer by mickclns(59)

Question 206305: Factor by Grouping:
Will you please help with grouping factorization. I'm about to pull my hair out!
Thank you,
Donna Green
12x^3 - 21x^2 + 20x - 35
Click here to see answer by scott8148(6628)

Question 206315: Reduce each expression to lowest terms 4x^2/2x^9
Click here to see answer by Tuesday(1)

Question 206329: Height difference. A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height "t" seconds after it is tossed is - 16t^2 + 96t feet. The green ball is given an initial velocity of 80 feet per second and its height "t" seconds after it is tossed is - 16t^2 + 80 feet.
a) Find a polynomial D(t) that represents the difference in the heights of the two balls?
b) How much higher is the red ball 2 seconds after the balls are tossed?
c) In reality, when does the difference in the heights stop increasing?
I am not even sure how to find any of these solutions and am not even sure how to set up the problems to solve them. Please share the formulas using applications so I may solve.
Click here to see answer by stanbon(75887)

Question 206335: Solve for the indicated variable:
A = 2pi r^2 + 2 pi r h for positive r
or A = 2 Πr^2 + 2Πrh
Thank you! You are great!
Click here to see answer by Alan3354(69443)

Question 206304: Please help me solve this problem
Click here to see answer by mickclns(59)

Question 206336: This weekend, while my fiance and daughter were out of town, I decided to paint my living room. I am a horrible painter, but my mom Mary, is excellent. It takes me 4 more hours to paint room the same size of my living room than it takes my mom. We painted the room in 5 hours together. If we worked independently, how long would it take to finish painting the room?

Click here to see answer by Alan3354(69443)

Question 206352: how to do you find all values of y satisfying this equation?
7/y-2= -8 -3/y-1
Click here to see answer by stanbon(75887)

Question 206352: how to do you find all values of y satisfying this equation?
7/y-2= -8 -3/y-1
Click here to see answer by vleith(2983)

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