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

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


Question 67850: how do you arrange the terms of the polynomial 3x^2+5xy+2y^2 so that the powers of x are in ascending order????
--------

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Question 67831: Find all pairs (m, n) of positive integers such that m2/(2mn2 - n3 + 1) is a positive integer.
background of the problem ..some preliminary concepts and review of related literature

Click here to see answer by Edwin McCravy(20054) About Me 

Question 67971: find three consecutive odd integers such that 9 times the first is the same as the sum of 3 times the second and 4 times the third.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 68067: Please factor the expression as a difference of squares:
4(x+y)^2-(2y-z)^2

Click here to see answer by stanbon(75887) About Me 

Question 68070: please factor as a difference of squares:
m^2-n^2-2m+1

Click here to see answer by Earlsdon(6294) About Me 

Question 68139: Factor by grouping:
18a^3 - 24a^2b + 15ab^2 - 20b^3

Click here to see answer by funmath(2933) About Me 

Question 68163: Hello, my name is Jessika, and im in the 8th grade and i basically need help with work and Mixture problems.
Is there anyone who can help me with it??
Thank u!
call me @ 562-278-6940

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

Question 68183: Use synthetic division for the given polynomial
f(x) = 2x3 -5x2- 4x + 3, find all the solutions if the function is completed.
a) f(x) =0
b) f(x+2)=0
d) f(2x) = 0
Please show the work. I have the answer, I just need to confirm I did all of the steps correct.


Click here to see answer by venugopalramana(3286) About Me 

Question 68215: Please help me simplify this equation: +%28%28a-b%29%2F%28a%2Bb%29%29%2F%28%28a%5E2-b%5E2%29%2F%28a%5E2%2B2ab%2Bb%5E2%29%29

Click here to see answer by Earlsdon(6294) About Me 
Question 68215: Please help me simplify this equation: +%28%28a-b%29%2F%28a%2Bb%29%29%2F%28%28a%5E2-b%5E2%29%2F%28a%5E2%2B2ab%2Bb%5E2%29%29

Click here to see answer by gsmani_iyer(201) About Me 
Question 68215: Please help me simplify this equation: +%28%28a-b%29%2F%28a%2Bb%29%29%2F%28%28a%5E2-b%5E2%29%2F%28a%5E2%2B2ab%2Bb%5E2%29%29

Click here to see answer by ptaylor(2198) About Me 

Question 68213: Please help me solve this equation: +%282%2F9-2%2F5%29%2F%283%2B3%2F5%29

Click here to see answer by checkley71(8403) About Me 

Question 68185: Last week's profits from a dry cleaners was $2000. Suppose the $2000 is invested at interest rate k, compounded continuously, and grows to $2983.65 in 5 years.
What is the interest rate?
Find the exponential growth function.
What will the balance be after 10 years?
When will the $2,000 double?

Click here to see answer by stanbon(75887) About Me 

Question 68212: Please help me reduce this equation: +%28625a%5E2b-125ab%5E2%29%2F25a%5E2b%5E2%29

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

Question 68235: Find the following product.
(0.3x + 0.2) (0.3x - 0.2)

Click here to see answer by checkley71(8403) About Me 

Question 68229: The speed of light in vacuum is one hundred eighty six thousand miles per second. Write the speed of light in scientific notation.
Click here to see answer by checkley71(8403) About Me 

Question 68228: The cost, y, of growing special oranges in dollar as a function of the number of oranges, n, is given by
y = 0.7n + 20.34
Make a plot of the above equation. What is the cost of growing 50 special oranges?

Click here to see answer by checkley71(8403) About Me 

Question 68234: Find the following product.
(3x - 4) (x^2 - 2x + 3)

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Question 68237: factor: 6x^2+11x+15
Click here to see answer by checkley71(8403) About Me 
Question 68237: factor: 6x^2+11x+15
Click here to see answer by stanbon(75887) About Me 

Question 68227: Perform the division.
(3x^3 + 4x^2 - 4x - 6) / (x - 1)

Click here to see answer by stanbon(75887) About Me 

Question 68231: simplify the following.
(-3x^2y^-3)^3 (x^-3y^2)

Click here to see answer by adamchapman(301) About Me 

Question 68274: Show that 13.012 line over 12 is a rational number by writing it as a fraction of integers.
Click here to see answer by funmath(2933) About Me 

Question 68230: multiply (x + 2y)^4
Click here to see answer by checkley71(8403) About Me 

Question 68211: Please help me solve this equation: +%285x%5E2y%5E-3z%29%2Fx%5E-2y

Click here to see answer by rmromero(383) About Me 

Question 68304: Please help me solve for R for this equation: %283%2F%285%2BR%29%29+%2B+%28R%2F%28R%2B2%29%29=%28R%2B4%29%2F%28R%2B5%29+
Click here to see answer by rmromero(383) About Me 

Question 68308: Please help me reduce this equation: -96W%5E4L%5E8M%5E2%2F-24M%5E2W%5E2L%5E6+
Click here to see answer by rmromero(383) About Me 

Question 68306: Please help me solve for Q for this equation: P=%28QV%29%2F%28HE%29+
Click here to see answer by rmromero(383) About Me 

Question 68299: Please help me add this equation: +2%2F%28a-b%29+%2B+1%2F%28a%2Bb%29+
Click here to see answer by rmromero(383) About Me 

Question 68303: Please help me simplify this equation: %285-%281%2Fa%2B1%29%29%2F%283%2B%282%2Fa%2B1%29%29+
Click here to see answer by rmromero(383) About Me 

Question 68318: I do not understand how they got the answer for this problem.
x%2Bh3
The answer is x%5E3%2B3x%5E2h%2B3xh%5E2%2Bh%5E3
Please break it down for me.
Thank you for your time.

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

Question 68307: Please help me solve for R for this equation: %28R%2F%28R%2B1%29%29+%2B+2=%283R%29%2F%28R%2B2%29+
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 68361: please help to solve by factoring
-5x - 6 = -6x^2

Click here to see answer by checkley71(8403) About Me 

Question 68352: Add or subtract as indicated. Simplify the result if possible.
4 8
-------- - ---------
2x + 1 2x + 1

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Question 68367: Please help to factor
x^3y^3 - 64

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Question 68367: Please help to factor
x^3y^3 - 64

Click here to see answer by rmromero(383) About Me 

Question 68311: I do not understand how they got the answer for this problem.
(x+h)^3
The answer is (x^3+3x^2h+3xh^2+h^3)
Please break it down for me.
Thank you for your time.

Click here to see answer by checkley71(8403) About Me 

Question 68396: Hi. Thanks in advance. I can't get the solution to this. I have a work/rate word problem. Bill can do a job 20 minutes faster than Joe. If it takes both of them to do the whole job in 60 minutes, how long does it take Joe alone?
First, Joe's rate is 1/x and Bill's rate is 1/x-20.
What I came up with was this: 1 job = 1/x(60) + 1/x-20(60), which is really 1 job = 60/x + 60/x-20.
When I multiply both sides by the LCD, I get x(x-20) = 60x -120 + 60x.
Then I get x^2 + 20x = 120x - 120. After that, I know I goofed, cause I get x^2 = 140x -120, and the only way to solve that is to take the square root. I'm pretty sure the answer doesn't involve a square root.
Where do I go wrong?

Click here to see answer by stanbon(75887) About Me 

Question 68302: Please help me divide this equation: %28%2825x%5E2-y%5E2%29%2F%289x%5E2z-4z%29%29%2F%28%285x-y%29%2F%283xz-2z%29%29+
Click here to see answer by rmromero(383) About Me 

Question 68300: Please help me factor this equation: +E%5E2-12EI%2B36I%5E2+
Click here to see answer by rmromero(383) About Me 

Question 68479: We are reviewing division of polynomials in trigonometry, and for homework we have to use both long and synthetic division. One of the long division problems is (50a^2-98b^2)/(10a+14b).
I know you have to include placeholders for missing degrees, but I'm not sure how many placeholders I need because the teacher did not show us how to do long division with more than one variable.
I think it would be, showing what the placeholder is for, (50a^2+0a+0ab+98b^2+0b)/(10a+14b), but I'm not entirely sure. Is this correct and if not, how do I figure it out?

Click here to see answer by stanbon(75887) About Me 

Question 68499: The sum of three consecutive odd integers is 201. Find the integers.
I am having a hard time trying to find the intergers to this one, and needing help. Thanks

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Question 68547: I forgot how to do these. Can you please help. I believe you start with finding the common denomitor but I get lost after that.
xyz^0 - 7x^2y^2 + 2x^3x^-2yz^-2 + 5xy^-1y^0
----- ------- ------------- ---------
z xyz z^-1x^0 zy^-2
is the common denominator x^2y^2z
thank you

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Question 68501:
Click here to see answer by funmath(2933) About Me 

Question 68595: Please help to Factor completely
-3ax^2p + 24pa + 6axp

Click here to see answer by funmath(2933) About Me 

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, 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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